Q4. The following table shows the probability mass function for the discrete random variable X: k 2 3 4 5 6 P(X= k) X 0.12 3x 0.3 0.1 The probability of observing an even number for X is (A) 0.12 (B) 0.48 (C) 0.58 (D) 1 (E) None of the above

Q: Compute E(Y/X=1).

A: It is given that the joint probability table with the two discrete random variables X and Y.

Q: P(x, y) 1 0.010 0.015 0.025 1. 0.020 0.030 0.050 0.050 0.075 0.125 3 0.060 0.090 0.150 4 0.040 0.060…

A:

Q: Suppose that the random variables X, Y, and Z have the following joint probability distribution…

A: d) To find the expected value (mean) of Y, we can use the formula: E(Y) = Σ y * P(Y = y), where the…

Q: The probability distribution of the discrete random variable X is given below. 3 5 3 -(u)()(%). 8 8…

A: The discrete random variable X is given as:

Q: Q.2) (a) Show that the following function satisfies the properties of a joint probability mass…

A: The  joint probability mass function of random variables (X,Y) is given as:xy111.521.532.5435

Q: 14. What is the probability distribution if X ~ B(3,0.82)? P(X = 0) = 0.55 P(X = 1) = 0.36 P(X = 2)…

A:

Q: Find the following probabilities. a. P(x = 1) = i o. P(x 3) = | i d. P(0 < x < 2) = i

A: The probability distribution of a discrete random variable x is given.

Q: a Geometric random variable X has the cumulative distribution function as follows, what is its…

A:

Q: What is the probability that there is exactly one car during a cycle? Exactly one bus? y ue La…

A:

Q: 3. Find E(X) for the discrete random variable with the probability distribution below. X 0 2 4 6 8…

A:

Q: 3.5 Determine the value c so that each of the follow- ing functions can serve as a probability…

A: We have given that the probability distribution of discrete random variable X. In discrete…

Q: For number 5: Based on a hamster breeder's experience, the number of live pups in a litter of a…

A: Given prob. distribution is X=x 3 4 5 6 7 8 9 P(X=x) 0.04 0.10   0.31 0.22 0.05 0.02

Q: The joint probability distribution of the number X of cars and the number Y of buses per signal…

A:

Q: (a) Find E(5X - 9Y). E(5X – 9Y) =D (Type an integer or a (b) Find E(XY). E(XY) = int

A: Since , the joint probability distribution of  X and Y is given. Our aim is to find the  (a)…

Q: The following table provides a probability distribution for the random variable y. y f(y) 2 0.20 4…

A: 2 0.2 0.4 4 0.8 4 0.4 1.6 16 6.4 7 0.1 0.7 49 4.9 8 0.3 2.4 64 19.2       The expected…

Q: 6. A discrete random variable can assume 5 possible values, as listed in the accompanying…

A:

Q: 24. Let X1, X2, .., X 100 be a random sample of size 100 from a distribution with density S(2) = {6…

A: Given that the pdf of random variable X is f(x)=e-λ*λxx!                ; for x=0,1,2,......0…

Q: Let x be the number of courses for which a randomly selected student at a certain university is…

A: x1234567P(x)0.050.040.070.240.360.140.10

Q: Consider the following probability distribution where random variable X denotes the number of cups…

A: Given data is  x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16   0.02 0.02

Q: The following table gives the probability distribution of a discrete random variable x. 1 2 3 4 5 6…

A: Given data is x 0 1 2 3 4 5 6 P(x) 0.13 0.18 0.29 0.15 0.13 0.09 0.03

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

A:

Q: The following table provides a probability distribution for the random variable .   y f(y) 2…

A: a. The mean of the random variable Y obtained as given below: