From the tree diagram find the following. (a) P(A ∩ E) (b) P(A) (c) P(A|E)

Q: When P(w) = 9w² + lw + 3, evaluate P( – 5) P( – 5) =

A: We have p(w), so to find p(—5) put w=—5 in the expression of p(w)

Q: This tree diagram shows the tossing of an unfair coin followed by drawing one bead from a cup…

A: Probability is the ratio of number of favourable outcomes to total number of possible outcomes. The…

Q: Given that m*n=3m-n, find the value for y for which (2*1)*y=0

A: Given mn=3m-n

Q: The Social Security Administration documented the marriage year of various couples, along with the…

A: Total number of couple=249

Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are independent? 0.72 0.90 0.18 0

A: It is given that P(A) = 0.3 and P(B) =0.6.

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: From the tree diagram find the following. (a) P(A n E) (b) Р(А) (c) P(AIE) А 0.2 0.4 0.2 0.4 C А 0.1…

A: From given tree diagram we can find all required probabilities.We will solve it step by step:

Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

A:

Q: Suppose P(A) = .2, P(B) = .5, and P(A and B) = .1. What is P(A or B)?

A:

Q: Given: • P(A) = P(B) = P(C) = P(D) = k. • A and Care mutually exclusive • B and D are mutually…

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: P(A) = 0.25, P(B) = 0.65, P(AU B)= 0.8 Find a) P(A|B)        b) P(B|A)

A: First we need to find P(AnB). P(AnB) = P(A)+P(B)-P(AUB) = 0.25+0.65-0.8 = 0.1

Q: Given P(A) = 0.4,P(B) = 0.5, P(A | B) = 0.3, do the following. a) compute  P(A and B). b) Compute…

A: a) Compute P(A∩B) (the probability of both A and B):Using the conditional probability…

Q: For X - N(8, 6²), what is P(16 < X < 20)?

A:

Q: Find P(P(P(empty set))) , where P(A) denotes the power set of A.

A: Given  A = Empty set  To find : P(P(P(empty set)))

Q: nong the options provided. 13 338 14 01 15 34578 16 1566 17 016 18 447 19 1278 =24 13 3 represents…

A: A stem plot, also known as a stem-and-leaf plot, is a way to represent numerical data graphically.…

Q: P(A) = 0.6, P(B) = 0.4, P(A∩B)= 0.2 a) Find P(A given B)     b) P(B|A)

A: Given data: The given probability of A is P(A)=0.6. The given probability of B is P(B)=0.4. The…

Q: This tree diagram shows the tossing of an unfair coin followed by drawing one bead from a cup…

A: P(tossing a head on the coin and a red bead)=P(tossing a head)×P(a red bead)=13×312=0.083

Q: A number is randomly selected from the set {1,2, ·.. , 23!} (note that there is a factorial!). For k…

A: d) Given, Ak = selected number divisible by kP(Ak )=total numbers divided by kTotal numbers=…

Q: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05 Find a) P(A|B).   b) P(B|A)

A: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05   We know :

Q: P(A) = 0.5, P(B) = 0.3, P(A ∩ B)= 0.1 a) Find P(A given B).   b) P(B|A)

A: As per given by the question, there are P(A) = 0.5, P(B) = 0.3,and P(A ∩ B)= 0.1., then find PA…

Q: A ∩ B = ∅, P(B) = 0.6, P(A ∪ B) = 0.6.  Find P(A).

A:

Q: a. What is P(A|B)? P(A and B)/P(B)=. b. What is P(B|A)? P(A and B)/P(A)= Are A and B independent? C.…

A: a) The required probability is calculated as follows: P(A|B) = P(A and B)/P(B)             =…

Q: If x is N(0,2) find (a) P{1£x£2} and (b) P{1£x£2x³1}

A: Given that,  X~ N(0,2)  Where, mean of x= 0  Standard deviation of x= 2 We know that, z-score=…

Q: P(A) = 0.2, P(B) = 0.6, P(AUB)= 0.7 Find a) P(A|B)  b) P(B|A)

A:

Q: P(A) = 0.4, P(B) = 0.5, P(A U B)= 0.6 a) Find P(A given B)    b) P(B|A)

A:

Q: Assume that P ( A ) = P ( B ). Show that A = B

A: If possible let A≠B and there is an element x ∈ A and x ∉ B Then {x} ∈ P(A) , but {x} ∉ P(B)