Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a black face ] and B = [the card is a black] . Compute :P(A). P(B). P(ANB), and P (AUB)* %3D

Q: Suppose P(C) = 0.3 and P(D|C) = 0.8. Find P(C&D).

A: Given that,P (C) =0.3P (D/C) =0.8P (C&D) =?

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: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

Q: Find P(A∪B)

A:

Q: Let A = [-2  6]              [2   8] Find 3A.  3A =

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: According to information released by the U.S. Census Bureau in July 2009, the population of…

A: The answer is found in step-2

Q: Let B = [b1, b2, b3] = -1 -1

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) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: Let A = [0  2]              [5 -2] Find -4A.  -4A =

A:

Q: let B= [-1 2 7 -3] Find -3B

A:

Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

A:

Q: (a) Show that if (a,342) = 171 and (b, 342) = 171 then (a+b,342) = 342. %3D %3D (b) Show that if (a,…

A:

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&B).

A:

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.5, what is P(A or B)? O 0.8 O…

A: When events A and B are mutually exclusive, the probability that A or B will occur is given by the…

Q: Given that z = V3+i. (a) Find z10 and express your answer in the form a + ib, where a and b are real…

A: Given that  z=3+i Let z=reiθ=rcosθ+isinθ, then rcosθ=3, rsinθ=1 ⇒r=3+1=2 and θ=tan-113=π6. So,…

Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

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: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: If p = (7, 2), then find -2p.

A: If p=7, 2, then to find -2p.

Q: еВook Consider the following time series data: Month 1 2 3 4 5 7 Value 24 15 21 13 19 21 16

A: b)  3 month moving average : for 3 month moving average : MSE  = 70/4 = 17.5 Forecast for month 8…

Q: If a * b denotes a² – ab + 2, find the value of 2* (3 * 2). What is the value of x if x * 3 = 0? %3D

A: Given a * b = a2 - ab + 2

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: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

A:

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: Given that A=6-j1 and B=2+j3, find A*B

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: 1. For each of the following find the limit or explain why the limit does not exist: x²-xy a) lim (…

A: We will find out the required limit.