Discrete Random Variables
Answers
A discrete random variable may take on only a countable number of distinct values such as 0,1,2,3,4,...
Discrete random variables are usually (but not necessarily) counts. If a random variable can take only a finite number of distinct values, then it must be discrete. Examples of discrete random variables include the number of children in a family, the Friday night attendance at a cinema, the number of patients in a doctor's surgery, and the number of defective light bulbs in a box of ten.
The probability distribution of a discrete random variable is a list of probabilities associated with each of its possible values. It is also sometimes called the probability function or the probability mass function.
Example'
The cumulative distribution function for the above probability distribution is calculated as follows:
The probability that \(X\) is less than or equal to is 0.1,
the probability that \(X\) is less than or equal to 2 is 0.1+0.3 = 0.4,
the probability that \(X\) is less than or equal to 3 is 0.1+0.3+0.4 = 0.8, and
the probability that \(X\) is less than or equal to 4 is 0.1+0.3+0.4+0.2 = 1.
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Related Questions
The radius of a circle is 17 inches. What is the circle's area?
Use 3.14 for л.
Answers
Answer:
Step-by-step explanation:
The formula for the area of a circle is:
A = πr^2
where A is the area, π (pi) is approximately 3.14, and r is the radius.
Substituting the given radius of 17 inches into the formula, we get:
A = 3.14 × 17^2
A = 3.14 × 289
A = 907.06
Therefore, the area of the circle is approximately 907.06 square inches.
Answer:
907.46
Step-by-step explanation:
Area of a circle formula is πr^2
It says the radius is 17
**Simplify**
(3.14)(17)^2=907.46
I need help
Given f(x)=-x+6 write an equation for f(x-2)
Answers
Answer:
f(x - 2) = - x + 8
Step-by-step explanation:
Substitute x = x - 2 into f(x)
f(x - 2) = - (x - 2) + 6 = - x + 2 + 6 = - x + 8
Please help me....
I've been taught a tedious way different from how IXL does it on how to solve for area . Ive tried everything I could to figure these out without trying to cheat but its impossible for me.. ;-;
Answers
2 ways u could do it:
45 x 24 = 1080
5 x 20 = 100
9+5=14
14x9 = 126
100+126=226
1080-226 = 854
I just worked out the total area of a whole rectangle then took away the missing parts
Or you could split it into different sections:
24x16=384
24-5=19
19x20=380
9x10=90
384+380+90=854
For which of the following situations is a simple linear regression model appropriate? Multiple choice question. The explanatory variable x is influenced by one response variable. The response variable y is influenced by two or more explanatory variables. The response variable y is influenced by one explanatory variable. The explanatory variable x is influenced by two or more response variables.
Answers
A simple linear regression model is appropriate when the response variable is influenced by only one explanatory variable.
A simple linear regression model assumes a linear relationship between the response variable (y) and a single explanatory variable (x).
It is suitable when we want to understand how changes in the explanatory variable affect the response variable.
In the given options, the situation where the response variable y is influenced by one explanatory variable aligns with the requirements of a simple linear regression model.
This means that the relationship between y and x can be adequately described by a straight line.
The model aims to estimate the slope and intercept of this line, allowing us to make predictions and draw conclusions about the impact of the explanatory variable on the response variable.
If the response variable y is influenced by two or more explanatory variables, a multiple linear regression model would be more appropriate.
Multiple linear regression allows for the analysis of the combined effects of multiple predictors on the response variable, accounting for their individual contributions.
Similarly, if the explanatory variable x is influenced by two or more response variables, a different modeling technique, such as multivariate regression, would be more suitable.
Therefore, the situation where the response variable y is influenced by one explanatory variable is the scenario where a simple linear regression model is appropriate.
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Which of the following is true? a. A hypothesis is a measure, such as price or quantity, that can take on different values at different times. b. To test a hypothesis is the last step under the scientific method of studying economic problems. c. To identify a question and define the relevant variables is the last step under the scientific method. d. Assumption refers to a theory about how key variables relate to one another.
Answers
Answer:
Step-by-step explanation:
D
roslyn has twenty boxes. thirteen of the boxes contain pencils, nine of the boxes contain pens, and three of the boxes contain neither pens nor pencils. how many boxes contain both pens and pencils?
Answers
The number of boxes containing both pens and pencils is 2.
What is set?
A set is defined as a well-defined collection of distinct objects. It is denoted by the capital letters of the English alphabet. Its value remains the same for every individual.
Calculation for the number of boxes containing both pens and pencils
Total number of boxes is given by the union of two sets A and B; i.e. A∪B= 20
Boxes having pencils is given by the set A = 13
Boxes having pens is given by the set B = 9
Boxes having neither pens nor pencils, A'∩B' = 3
Boxes containing both pens and pencils are given by the intersection of the sets, A∩B
A∩B = A + B - A∪B
= 13 + 9 - 20
= 2
Hence, the number of boxes containing both pens and pencils is 2.
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Lewis wishes to make a scale drawing of his mansion. If his mansion is 50 feet tall, and he wishes to scale is diagram so that 3 inches represent 8 feet, how tall is the mansion on paper?
Answers
Answer:
18.75 inches
Step-by-step explanation:
Inches:feet
3. : 8
X. : 50
(Cross multiply)
8x=150
X=150÷8=18.75
Which expression is equivalent to 7(2k)?
Answers
Answer:
14k
Step-by-step explanation:
If this answer helped you then please consider liking this and marking it as brainliest :)
What are the 7 laws of exponents?
Answers
Answer:
1- Product of powers rule.
2- Quotient of powers rule.
3- Power of a power rule.
4- Power of a product rule.
5- Power of a quotient rule.
6- Zero power rule.
7- Negative exponent rule.
Step-by-step explanation:
Hope I helped! ^v^
Product of powers rule.
Quotient of powers rule.
Power of a power rule.
Power of a product rule.
Power of a quotient rule.
Zero power rule.
Negative exponent rule.
Sameer bought a dozen eggs at 25 and sold 10 of them at 25. Find his profit %.
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well, if he sold 10 for $25, let's see how much he sold all 12 for.
\(\begin{array}{ccll} eggs&\$\\ \cline{1-2} 10 & 25\\ 12& x \end{array} \implies \cfrac{10}{12}~~=~~\cfrac{25}{x} \\\\\\ \cfrac{5}{6} ~~=~~ \cfrac{25}{x}\implies 5x=150\implies x=\cfrac{150}{5}\implies x=30\)
so he sold all 12 for $30, whilst he bought them for $25, so he had $5 profit, now, if we take 25(origin amount) as the 100%, what's 5 off of it in percentage?
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 25 & 100\\ 5& y \end{array} \implies \cfrac{25}{5}~~=~~\cfrac{100}{y} \\\\\\ 5 ~~=~~ \cfrac{100}{y}\implies 5y=100\implies y=\cfrac{100}{5}\implies y=\stackrel{ \% }{20}\)
(!!!Urgent!!!)If the area of a circle is 49pi square units the the diameter is 7 units
TRUE or FASLE
Answers
Answer:
False.
PS:
Hope I could help!
which of the following statements is true of pie charts? group of answer choices they are ineffective in showing quantitative totals. they are ineffective in showing percentages. they present data in columns and rows. they make it easier to understand processes.
Answers
Pie charts are effective in conveying percentages and are commonly used in data analysis and presentations.
The true statement about pie charts is that they are effective in showing percentages. Pie charts are a common data visualization tool used to represent proportions or percentages of a whole.
The chart is divided into slices, with each slice representing a specific category or data point. The size of each slice is proportional to the percentage it represents within the whole.
This visual representation makes it easier for viewers to understand the distribution and relative proportions of different categories or variables. Pie charts are therefore frequently used in data analysis and presentations because they are good at communicating percentages.
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2e - 1 ≤ 18
I need to solve the inequality and I need the work and the answer
Answers
Answer:
To solve the inequality 2e - 1 ≤ 18, we can add 1 to both sides of the inequality to isolate the term with e:
2e - 1 + 1 ≤ 18 + 1
Simplifying:
2e ≤ 19
Finally, we can divide both sides of the inequality by 2 to isolate e:
2e/2 ≤ 19/2
Simplifying:
e ≤ 19/2
Therefore, the solution to the inequality is e ≤ 9.5.
If y = 4 find slope, X-intercept and y-intercept.
Answers
Answer:
An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero
can someone please explain number 5? please help merely if you know how to do this question
Answers
Step-by-step explanation:
The function/equation can be rewritten to fit the variables better. C=10t+2. C stands for the total cost, and t stands for the number of tickets. The total cost of tickets is the amount of tickets ($10 each) plus another $2 (probably some kind of fee).
a regression analysis is conducted with observations. what is the df value for inference about the slope ?
Answers
The df value for inference about the slope in a regression analysis with n observations is n-2.
In a regression analysis, we use data from n observations to estimate the relationship between two variables. The df, or degrees of freedom, is the number of values in the final calculation that are free to vary. In simple linear regression, we estimate two parameters: the intercept and the slope.
Therefore, when calculating the df for inference about the slope, we subtract the two estimated parameters from the total number of observations (n). So, the df value for the slope is n-2. This is important because it impacts the test statistic and the confidence intervals for the slope in our regression analysis.
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Question 2 of 5
A cylinder has a diameter of 10 inches and a height of 20 inches. What is the
volume of the cylinder?
А. 1000п
B. 50017
C. 200017
O D. 2001
SUBMIT
Answers
Answer
B. 500 pi
Step-by-step explanation:
Which of the following is not a way to represent the solution of the inequality?
7 - 9x - (x + 12) <= 25?
A: x => -3
B: x <= -3
C: -3 <= x
D: a number line with a closed circle on negative 3 and shading to the right
Answers
Answer:
B) x <= -3
Step-by-step explanation:
B is the only answer that shows x being less than -3.
all of the other answers show x being greater than -3.
Determine whether these measures can be sides of a triangle?
15, 8, 17
Answers
Answer:
Yes
Step-by-step explanation:
the way I find the possible sides of a triangle is adding two sides of a triangle together and if it is longer than the other side then the triangle is not possible
so in essence you can make an inequality
8+15=23 so 23 is the greatest possible side that can be of the triangle
now if you subtract the greatest side with a smaller side then you get a minimum of the side lengths
so 17-15=2
so the sides of the triangle can be in length from 2<x<23
and since all sides of the triangle from this equation are in that inequality then it is true
Hope that helps :)
Please give brainliest
Answer:
YES!!
Step-by-step explanation:
Hey! I hope you and your family is safe and happy. So, let us pretend that the measurements that you gave (15, 8, 17) are in cm. I have attached a picture of me drawing these measurements out in order to find if it would form a triangle or not.
You can see that it does form a triangle. When forming a triangle it is always better to have bigger value as your length and other values as the triangle's height.
Triangles values / measurements :-
17 cm, 15 cm, 8 cm
You can see that 17 cm is the biggest value than 15 cm and 8 cm, so 17 cm would be my length of the triangle. If the tip of the triangle intersects meaning if it touch then the measurements given can be formed in a triangle, but if the tip of the triangle does not intersects meaning it does not touch then the measurements given can not form a triangle. Also use a ruler and pencil and cm are the easy units to draw a triangle.
Hope this helps, thank you :) !!
Andrea and her friends love cake. Andrea has two cakes. Each of her friends is going to eat 2/3 of a cake. How many friends can Andrea serve cake to? Answer without units. *
Answers
Answer:
3
Step-by-step explanation:
2 / (2/3) = 2 * 3/2 = 6/2 = 3
translate the equation into a sentence
example sentence: four more than a number b
3/5t + 2 = t
Answers
Answer: 3/5t + 2 = 2 can be translated into a sentence.
That sentence can be: three fifths a number plus two is equal to two.
10a = 40
pls help i cant do this and i’ve been trying to figure this out for 20 min now send help pls
Answers
Write an equation for the nth term of each geometric sequence.
-1, -5, -25,...
Oa. an = (5)-¹-1
Ob. a , = - 1¹( 3 ) - ²
5
Oc. an =-1(5)n-1
Od. an = 1(5)n-1
Answers
Answer:
C
Step-by-step explanation:
the nth term of a geometric sequence is
\(a_{n}\) = a₁ \(r^{n-1}\)
where a₁ is the first term and r the common ratio
here a₁ = - 1 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-5}{-1}\) = 5
then nth term is
\(a_{n}\) = - 1 \((5)^{n-1}\)
What i the monthly fee for Jeica’ plan if he doe not end any text meage? Show your work
Answers
Answer:
can u screenshot the question then ill solve it!!
Step-by-step explanation:
the diagonal of a particular square is 5 inches. the diameter of a particular circle is also 5 inches. by how many square inches is the area of the circle greater than the area of the square? express your answer as a decimal to the nearest tenth.
Answers
7.13 square inches is the area of the circle greater than the area of the square
area of a circle is pir^2 = pi*2.5^2
side of the square by Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
5^2 = 2x^2
x^2 = 12.5 = area of the square
area of circle = pi * 6.25 = 19.63
difference in areas = 19.63 - 12.5 = 7.13 sq ins
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what shape has the largest area for a given perimeter?
With process
Answers
Answer: A circle
Step-by-step explanation: a circle
When x = 2, what is the value of the expression 5x^2 - 4?
Answers
\( \: \: \)
\( \sf \: 5(2)^{2} - 4\)\( \: \: \: \)
\( \sf \: 5(4) - 4\)\( \: \: \: \)
\( \sf \: 20 - 4\)\( \: \: \: \)
\( \sf \: 16\)Hope It's Helps~The value of the expression, 5x^2 - 4, when x = 2 is: 16.
What is the the Value of an Expression?To find the value of an expression, plug in the given value of the variable and solve by simplifying.
Given the expression, 5x^2 - 4, when x = 2, we would have:
5(2)^2 - 4
5(4) - 4
20 - 4
= 16
Therefore, the value of the expression, 5x^2 - 4, when x = 2 is: 16.
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please answer this for me?
Answers
Answer:
abkjjnjnnnnjxnjxbksbx
Step-by-step explanation:
Lol idont know sorry
Latoya builds a border for her strawberry plot, which is shaped like a square. All the sides measure 5 feet. How many feet of border does she need to buy?
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The amount of feet of border that she needs to purchase is given as follows:
20 feet.
How to obtain the perimeter of a square?The perimeter of a square of side length s is given by the multiplication of four and the side length s, as follows:
P = 4s.
All the sides measure 5 feet, hence the parameter s is given as follows:
s = 5.
Then the perimeter of the square plot is given as follows:
P = 4 x 5
P = 20 feet.
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Pls solve and explain
Answers
Answer:
1684 2/3
Step-by-step explanation:
This is a right trapezoid you can break this down into a rectangular prism and a triangle find the area of those two shapes separately then add them together to get your total volume