6: Let Y be a random variable with probability distribution given by y 0, 1 ,2, 3 P(Y=y) 1/8 ,1/4 ,1/2 ,1/8 What is the expected value of Y? A. 0. 25 B. 0.167 C. 1.625 D. 1.5 What is the variance of Y? A. 3.375 B. 0.734 C. 0.609 D. 0.581

Q: 5) Given below is a bivariate distribution for the random variables x and y. f(x, y) x y 0.2 50…

A: Obtain the mean of x and mean of y:The mean of x is, sum(xf(x.y) =E(x)=37 and mean of y is,…

Q: The discrete random variable X has the probability distribution given by: x -3 1 3 5 7 P(X=x) 2r…

A: As per Bartleby guideline expert have to answer first three subparts only dear student please upload…

Q: A random variable Yhas a probability distribution given in the following table. Y 5 7 11 13 P(Y = y)…

A: Given: The pdf of Y is Y 5 7 9 11 13 P (Y =y) 0.12 0.08 0.28 0.20 0.32

Q: ihe following table provides a probability distribution for the random variable y. f(y) 0.2 4 0.3 7.…

A:

Q: sa My (5) Sレ e 1 Calculate the expected value and variance of the random variable X.

A:

Q: 1) Let X be the random variable with the following distribution table. 3 Sum Pr(X = z) z Pr(X = z)…

A: List of formulae : i) For probability distribution total sum of probability is 1 i.e.   ∑Pr(X=x) = 1…

Q: 2. A statistics professor has office hours from 9:00 AM to 10:00 AM each day. The number of students…

A: If this is the rest of the question -The professor gives each student 10 minutes. Determine the…

Q: (3) A uniform random variable represents the choice of a random number in [a, b]. Its probability…

A: The notation for the uniform distribution is X ~ U(a, b) where a = the lowest value of x and b = the…

Q: Consider the probability distribution. ________________________________________          x:      0…

A: The following probability distribution is given:   x:              0         1         2         3…

Q: A random variable Yhas a probability distribution given in the following table. Y 5 7 9. 11 13 P(Y =…

A: Let Z=17.2-3Y. Then, V(Z)= V(17.2-3Y). As, variance remains unchanged with change of scale, we have,…

Q: consider a random variable y= the number of broken eggs in a randomly selected carton of one dozen…

A: Given Data: y       0       1         2          3           4 p(y) 0.65   0.20    0.10     0.04…

Q: Two businessmen examine the joint distribution for X and Y. Find the Expected value of X, Y, and XY,…

A: Two businessmen examine the joint distribution for X and Y. We need to find, the Expected value of…

Q: 2 A random variable, x, has a normal distribution with mean 4 and standard deviation 0.8. Calculate…

A: Note: According to our guidelones i can solve only 3 subparts of a question please repost other…

Q: 10. The random variable X, representing the number of chocolate chips in a cookie, has the following…

A:

Q: A random variable X has the following probability distribution. -2 -1 1 2 3 P(X) K 0.11 2K 0.19 3K…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: ①3) 3 1501000 What is the expected value of Y if the distribution of Y is given as: 20 1)-5 ① 21 0…

A: Y p ( Y) -5 0.4 0 0.3 10 0.1 20 0.2

Q: Find expected value and variance of X random variable whose distribution is as follows:. X 1 2 P(x)…

A: For a discrete random variable X, the expected value (or mean) of X, is a weighted average of the…

Q: Let X be a random variable with probability distribution given by the following table: X…

A:

Q: 2 The probability distribution for the random variable Y is given in the following table. bidy 1 3 4…

A:

Q: Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing…

A: For the given data:  (a)

Q: Consider the following problem: Consider an experiment of throwing a fair die. Let X be a random…

A: Consider an experiment throwing a die ( 13) Values of the Random variables x ( 14 ) PMF of x

Q: Suppose Y is a random variable that follows an (a, b, 1) distribution. You are given: P = 0.2 %3D…

A: The given values of probabilities are: P0M=0.21-P0M=0.8   P3MP4M=1.45455 P6MP7M=1.64706

Q: x 0 1 2 3 4 P(X=x) 0.1 0.25 k 0.30 0.20 Based on the table above, answer the following questions: a)…

A: a) Suppose a random variable x has probability distribution of p(x), which is said to be a valid…

Q: 1. Let X be a random variable with mean μ and variance o². Let Y=aX²+bx+c, a, b, c any constants.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The random variable X has probability distribution as shown below: 0 1 2 p(X = x) 0.16 0.48 0.36 The…

A:

Q: 3. The discrete random variable Y has the following probability distribution: Y 25 26 27 28 29 P(Y)…

A:

Q: 4. What are the expected value and the variance of the probability distribution below? x P(X = x)…

A: (4)   Obtain the expected value   The expected value is obtained below as follows:

Q: a. A random variable X has the following probability distribution: 0 x 18 5x 18 10 x 18 15 x 18 20 x…

A:

Q: 7. Let X be a random variable with probability distribution given by the following table: X 0 1 2 3…

A: Given, Let X be a random variable with a probability distribution given by the following table: X…

Q: 3. Look at the relative-frequency table below of the probability distribution for the frequency with…

A:

Q: The probability distribution for random variable X is given in the table below. 2 0.15 2 0.15…

A: 1) find expected value μ we need create following table to find expected value μ x P(X=x)…

Q: Let X be a normal random variable with mean 3 and variance 4. a. Find the probability P(2c)=0.33.…

A: From the provided information, Mean (µ) = 3 Variance (σ2) = 4 Standard deviation (σ) = 2 X ~N (3, 2)

Q: (b) M is discrete random variable that has the expected value 25 and variance 3. Find: i. E(3M +24)…

A: Given that : M is a discrete random variable.  E(M) = 25     ,   Var( M) = 3 By using expectation…

Q: et X1 ∼ N (µ1, σ2 1 ) and X2 ∼ N (µ2, σ2 2 ). Find the expected value and variance of Y = X1 + X2

A:

Q: The joint probability distribution of two discrete random variables X and Y is partly given in the…

A: The joint probability distribution of two discrete random variables X and Y is partly given in the…

Q: Let Y be a random variable with probability distribution given by y 0, 1 ,2, 3 P(Y=y) 1/8 ,1/4 ,1/2…

A: Given, y 0 1 2 3 P(Y) 1/8 1/4 1/2 1/8

Q: Q1 (a) Given probability distribution function for discrete random variable X as below: 2 4 6. 8. 10…

A:

Q: WPI SS VS Determine the covariance and correlation or the following joint probability distribution:…

A: The joint distribution of (x,y) is given. P(x=1,y=3) = 18 P(x=1,y=4) = 14 P(x=2,y=5) = 12 P(x=4,y=6)…

Q: 1. The number of defective parts of a machine with its corresponding probabilities is shown below.…

A:

Q: X          0         1        2         3    TOTAL P(X)    .40      .30     .20      .10    1.00…

A: It is an important part of statistics. It is widely used.

Q: 1. Let Y be a random variable with probability distribution given by the following table: y ㅇ 1 1 1…

A: Solution-: Let, Y-be a random variable with probability distribution given by the following table:…

Q: . What is the expected value of the probability distribution of the discrete random variable X? x…

A:

Q: 3. If Z is a random variable having the standard normal distribution i. P(Z<1.56) ii. P(Z 2 - 1.08)…

A: We have to find out p  value for standard normal distribution .

Q: 2. Two businessmen examine the joint distribution for X and Y. Find the Expected value of X, Y, and…

A: Solution-: We have following table:     Y   f(x,y) 1 2 3 X 1 0.10 0.05 0.02 2 0.10 0.35…

Q: The table below was generated from a survey of college students. The random variable x represents…

A: We have given that,  X is random variable having probability distribution,  x       : 0         1…

Q: 3. The random variable x represents the number of cars per household in a town of 1000 households.…

A: 3)Given data is  Cars Households 0 125 1 428 2 256 3 108 4 83

Q: Given the joint probabilities of two discrete random variables (X, Y) as below. f(1,1)=4/20, f(1,2)=…

A:

Q: Q1 (a) Given probability distribution function for discrete random variable X as below: 2 4 8 10 P(X…

A: Q1(a)  Let X be the random variable having probability mass function is,  X 2 4 6 8 10 P(X)…

Q: A discrete random variable, y, has a probability distribution y: 6, 7, 8,9, 10,11 nd P :0.13,0.26…

A: Given See the below excel output

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.