Q4: The probability mass function of a discrete random variable X is given by the following table: X P(X) 1 2 3 4 5 6 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance.

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80…

Q: Find the variance for a given probability distribution. x: 0, 22, 4, 6 p(x): 0.05, 0.17, 0.43, 0.35

A: We have given that the probability distribution.

Q: Which of the following is a continuous random variable? O Speed of an airplane O The number of…

A: A continuous random variable is which can take values between a permitted range. Example: Height,…

Q: In a family with three children, find the mean of the number of children who will be girls if the…

A:

Q: X₁ X₂ X3, and X₁ are normally distributed random variables X₂ The variable(s) which follow(s) a…

A: Determining which variable(s) follow a standard normal distribution:A standard normal distribution…

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.21 - 0.7 X=2 - 0.09 - 0.3…

Q: Q. 3. The Frequency distribution of marks of 800 students given below: Marks: 40-50 50-60 60-70…

A: As per our guidelines, we are allowed to answer three sub-parts a) Mean : Class Frequency 40 -…

Q: 3 4 5 6 7 8 0.3100 0.1200 0.1700 0.1200 0.1300 0.1000

A: The Probability that on a given day discipline officers discover violations Number of violations…

Q: Let X and Y be random variables where the expected value of X is 1, expected value of Y is 4,…

A: Given that E(X)=1E(Y)=4Var(X)=4Var(Y)=6Corr(X,Y)=0.50 Here Z=3X-2Y.

Q: table in such a way that X and Y are dependent random variables. Y= -3 Y=-1 Y=0 X=-2 0.01 0.10 X=-1…

A: Given that ; A discrete two dimensional random variable table is given  By using marginal formula…

Q: 7. If X and Y are independent random variables drawn from the standard uniform distribution, on the…

A: Given  X, Y ~ U(0,1)  X and Y are independent.

Q: Suppose the random variable Y counts the number of heads in 10 tosses of a biased coin with P(H) =…

A: Y is a random variable that can take on values from 0 to 10 with probability P(Y=y) =E(Y) =6 and…

Q: 7. The mode and variance of the daily income of 2000 workers are Tk. 100 and Tk² 36 respectively.…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   Since, it is…

Q: The random variable X takes on the following values X = {0,1,2,3,4}. The distribution of the random…

A:

Q: Subject: Your Month к хчу pcxing) other Find the marginal probability of Y P (Y) Date: X=1,2 153…

A: XY 1 2 Total 1 k 4 k 5 k 2 2 k 8 k 10 k 3 3 k 12 k 15 k Total 6 k 24 k 30 k we know…

Q: The probability distribution of random variable X, that represent the number of defects per 20…

A: Given: The number of defects and the probability values are, x 0 1 2 3 4 P(x) 0.39 0.32 C…

Q: wo discrete independent random variables X and Y are such that X can take values 2,3,5 and Y can…

A: It is given that Two variables X and Y are independent then P(X = x, Y = y) = P(X = x).P(Y = y)

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=0 Y=1 Y=3 Total X=1   0.06   0.60 X=3   0.04   0.40…

Q: 2 Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we…

A: Given::-- 2 Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls.…

Q: H P(x)-s/4, what ore the possible vakues ot X tor it to be a probability distribution? etta What in…

A:

Q: A local library is analyzing the number of books checked out by patrons in a week. The probability…

A: Let X be the random variable which denotes the number of books checked out by patrons in a week. The…

Q: I. APPLICATION. Compute for the mean and variance of the given discrete probability distribution.…

A: The mean for discrete probability distribution can be given as, μ=∑i=1nXiP(Xi), where Xi denotes the…

Q: x < 2 1 2<x<3 4. 15 , 33x<4 (b) F(x) = 6. %3D 4sx<5 15 , 55x<6 53x<6 1 x26 2/3

A: We have given that the random variable X has a probability distribution function S(x) is given by…

Q: The probability distribution below is for the random variable X the number of credits taken by a…

A: The given probability distribution is:

Q: At a casino, one lucky player is blindfolded and allowed to pick 5 bills from a bowl containing 25…

A: Total number of bills is 25. Number of one hundred dollar bills is 6. 5 bills are drawn at random.

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Independent event : The events  A and B are independent  if P( A and B ) = P(A)*P(B)