Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black ball selected and we lose $1 for each white ball selected (orange is neutral). Let X denote our winnings. (a) What values can X take? Ans: {−2, −1, 0, 1, 2, 4} (b) Find the pmf for X

Q: Suppose Var(X) = 32, Var(Y) = 47, and X and Y are independent. What is Var(.15X + .85Y)?

A: Given, a  and . and  are independent random variables.It is required to find the .To solve this…

Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

Q: 30 Find x. A D 18

A: Using phythagoras theorem  (Hypotenuse)² = (base)² + (perpendicular)²

Q: uppose Var(X) = 93, Var(Y) = 98, and X and Y are independent. What is Var(.6X + .4Y)?

A: Answer: - Given,  Var(X) = 93, Var(Y) = 98, and X and Y are independent.                 What is…

Q: If P(A) = 0.7, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B).

A:

Q: Suppose P(B)=0.22, P(A and B)=0.125, and A and B are independent. Find P(Ac) Select one: A. 0.57 B.…

A: Given Information:PB=0.22PA and B=0.125A and B are independent.To find PAc

Q: I found this question on the internet. Can this be calculated P(A|B) and P(Ac|Bc)? I am used to…

A: The objective of this question is to calculate the conditional probabilities P(A|B) and P(Ac|Bc)…

Q: Find the value of r for which 3r* 6. k=0

A:

Q: Suppose Var(X) = 88, Var(Y) = 17, and X and Y are independent. What is Var(.28X + .72Y)?

A:

Q: If P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7, find P(ANB). P(AUB).

A:

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: Suppose Var(X) = 52, Var(Y) = 41, and X and Y are independent. What is Var(.89X + .11Y)?

A: Given: Var(X) = 52 Var(Y) = 41 X and Y are independent. Formula Used: VaraX+bY = a2Var(X) + b2Var(Y)…

Q: If n(A U B) = 96 and n(A) = n(B) = 69, find n(A n B).

A: Let A, B be sets and n(A), n(B), n(A∪B) be the cardinality of the sets A, B and A∪B respectively. It…

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: Find all values of x for which rank(A) = 2. 1205 A = x= 0 2 7 x 19 -3 -3 -2 -6

A:

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: Suppose Var(X) = 43, Var(Y) = 36, and X and Y are independent. What is Var(.67X + .33Y)?

A: GivenX and Y are independentVar(X)=43Var(Y)=36

Q: (² 4 Calculate AT Let A = Select one: O a. O b. O C. O d. (63) 5 TOT -4 0 0 -2 -3 2B. 2 (9²) -5 -2 0…

A: The matrices are given by A = 0-24-3B = 21-11 To evaluate: The value of AT-2B.

Q: Suppose Var(X) = 4, Var(Y) = 78, and X and Y are independent. What is Var(.58X + .42Y)?

A: Answer: - Given, Var(X) = 4, Var(Y) = 78, and X and Y are independent.                What is…

Q: If n(A) = 102, n(A U B) = 159, and n(A n B) = 45, find n(B).

A: Hi there! Since there are two different questions we will solve one question for you. As the first…

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: x is a whole number = ¤ is a natural number. f humans have six eyes, then they can see in (10, V5, 2…

A:

Q: Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

A: The objective of this question is to find the variance of the linear combination of two independent…

Q: If n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9