Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will throw the same die repeatedly unit he obtains a 2 or 3. We assume that successive throws are independent, and Alan and Bob are throwing the die independently of one another. Let X be the sum of numbers of throws required by Alan and Bob. a) Find P(X=9) b) Find E(X) c) Find Var(X)

Q: A coin is tossed three times. Let X be the number of heads that turn up. Find V (X).

A: Given:A coin is tossed three times.X be the number of heads that turn up.

Q: If P(A) = 0.3, P(B) = 0.3, and P(A and B) = = P(A or B) = X 0.2, find P(A or B).

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: Use the set A = {2} to determine n(A). n(A) =

A: We have given a set  A=2 Number of elements in set A is 1. nA=1

Q: find a if A=8a

A:

Q: Let a = 1-j+ k, b = 4i + 5)-k, and c - -I+j+ 4k. Find the Indicated quantity. a (b x c)

A: Given: a=i-j+k, b=4i+5j-k, c=-i+j+4k To evaluate: a·b×c Cross product of two vectors r→=ai^ +…

Q: p(a)= 0.7 p(b)=0.2 and A and B are mutually exclusive, find p(A and B)

A: Given that  p(A)=0.7 , p(B)=0.2

Q: if N {A} = 25 and N {B} = 31 and N { A n B } = 20 find n { A U B }

A: Given that n{A}=25 and n{B}=31 and n{A ∩B }=20   We have to find n{A∪B}  . We use the union property…

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: If P(A) =0.7, P(B) = 0.1 and A and B are mutually exclusive, find  P(A and B)

A: From the provided information, P (A) = 0.7, P (B) = 0.1

Q: If A C B, P(A) = 1/4, and P(B) = 1/3, find P(A|B) and P(B|A).

A: Step 1 :Here given,P(A)=41​P(B)=31​Here,A⊂B given,So that P(A∩B)=P(A)  Step 2 :We need the value of…

Q: ind AxB for A = {1,2} and B = {r,s, t} %3D

A:

Q: Suppose P(A)=0.6, P(B)=0.4, and both A and B are independent. Calculate P(A or B).

A: We have to find given probability.

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: ×: Attend a 4-year college Px: 0.1 X: Attend a junior college Px: 0.2 X: Attend a technical…

A: 1) The probability distribution is given as follows: Event Probability Attend a 4-year…

Q: Let a = -27 +53 + 4k. Find a.

A:

Q: Σ (4) -1 x = 4

A:

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: (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.