The joint probability distribution of two random variables X, Y is given in the table below. Y=-3 Y=-2 Y=-1 X=-3 0.12 0.07 0.10 X=-1 0.04 0.01 0.14 X=0 0.00 0.00 0.00 X=1 0.06 0.16 0.10 X=4 0.08 0.00 0.12 From the information in the table, calculate each of the following three probabilities. (a) P(X > -1, Y > -2) = ] (b) P(Y = -2) = O %3D (c) P(Y> -4) = [O

Q: The joint probability distribution of two random variables X, Y is given in the table below. Value…

A: The  marginal density function of X is X -3 3 4 P(X) 0.35 0.32 0.33 The marginal density…

Q: Provide an appropriate response. The random variable x represents the number of computers that…

A: Mean E[x] = ∑xP(x)

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: The joint probability distribution of two random variables X, Y is given in the table below. Value…

A:

Q: The joint probability distribution of two random variables X, Y is given in the table below. Value…

A:

Q: (d) Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three…

A: Here given joint distribution table for x and y X = no of cars Y = no. Of buses

Q: The joint probability distribution of two random variables x, Y is given in the ta below. Y=-2 Y=- 1…

A:

Q: Define the indicator variable IA of a random event A, and show that E(IA) = P(A).

A: We have to define the indicator variable IA of a random event A, and also to show that EIA=PA.

Q: Suppose the random variable X has the following probability distribution. x:0, 2, 4 P(x=x)=0.2 0.1…

A: From the provided information The probability distribution table is as follow: X 0 2 4…

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: mean

A: Given that  The mean (μ) equal to 10 and standard deviation (σ) equal to 2.

Q: If X is a geometric random variable with p = 0.3 and Y = 5 + X, then what is the range of Y?

A: Given: X is a geometric random variable with p=0.3 and Y=5+X.To find: The range of Y.

Q: In the probability distribution to the right, the random variable X represents the number of…

A: The variable X denotes the number of marriages in individual aged 15 years or old has been involved…

Q: z is a standard normal random variable. The P (-1.20  z  1.50) equals     a. 0.8181   b. 0.4332…

A: Given  A multiple choice question based a random variable.

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3…

A: Required probability is P(X≤-3 , Y≤0)

Q: Please calculate the expected values, E(X) and E(Y), for the two random variables.

A:

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3…

A: P(X≤-1, Y=3)=? P(X>3)=? P(X=-4)=?

Q: The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40…

A:

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-2…

A: For Y=2  Probabilities are given for every X, i.e. 0.04, 0.19, 0.05 So  P(Y=2)= 0.04+0.19+0.05= 0.28

Q: Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is…

A: