Assume that events A and B are independent, and C ⊂ A, and C ⊂ B. Moreover, P(A) = 1/2, P(B) = 2/3, and P(C) = 1/6. (Q13) P(A and B, but not C) is (A) 1/3, (B) 1/6, (C) 0, (D) none of the answers given on the left (Q14) P(exactly two of A, B, C occur) is (A) 1/3, (B) 1/6, (C) 0, (D) none of the answers given on the left (Q15) The conditional probability of A or C occur given that B occurs is equal to (A) 1/3, (B) 1/6, (C) 1/2, (D) none

Q: Which of the following is equivalent to (13a b)²a*? 3 A 1362 169a b2 13a b? 169a20b2 169a b

A:

Q: Let A = {1,{2,3}}. Find P(A), n(A) and n (P(A)).

A: The power set of a set is the set of its subsets. The expression nA represents the number of…

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: The game Capture is played by two players, First and Second, who take turns to move towards one…

A:

Q: Suppose that you have 6 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given n(G)=6 n(Y)=5 N=11

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: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: calculate 1+3+5+...+(2n-1) for n = 1,2...,6.

A:

Q: The guests of a party arrive one by one. If X is the number of people who arrived when a birthday…

A: a) The possible values of X are 2,3, ... , 365 (assume there are only 365 days in any year) There…

Q: Yes, because P(B) = P(A|B)  No, because P(B) = P(A|B)  Yes, because P(A) ≠ P(A|B)  No, because P(A)…

A: To determine if events A and B are independent, we need to check if the conditional probability of…

Q: If P(A) = 0.36, P(B) = 0.150., and A and B are independent, find P(A | B). 0.36 0.417 0.21 0.51

A: According to the given information in this question We need to identify the correct option

Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: Suppose U = {1, 2,..., 9}, A = all multiples of 2, B = all multiples of 3, and C = {3, 4, 5, 6, 7}.…

A:

Q: Shapley value of each senior = (31 + 3(1/2 + 1/2 + 1))/5040 = 37/840 Shapley value of each junior =…

A: Sure, I can explain where the numbers 31 and 30 come from in the calculation of the Shapley values

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: Find out the following: If A = {1,2}, then |p(p(A × p(A)))| = ?

A:

Q: Test whether the number of years in college has a significant impact on income at a.05. What are the…

A: Test is that whether number of years in college has a significant impact on income. Given that…

Q: Thank you! Now how do I find P+P from that equation?

A: To find P+P you need to know the coordinates of a point P.As mentioned in the question P+P is…

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: Given  H(p) =  7p p + 6,  evaluate. H(1)

A: Given: H(p)=7pp+6   To find: H(1)=??

Q: 4. Select all the expressions that can be factored into a squared binomial. A. y² + 2y + 1 25 B.w?…

A: Answer and explanation is given below

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: **2.) In the diagram below, ray NK bisects JNL MJNK-(22-2 and MELNK-(3x)". Determine the value of…

A: Given: In the diagram, the ray NK bisects ∠JNL. m∠JNK=2x2-2°. m∠LNK=3x°. Since the ∠JNL is…

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: Belief in UFOS A survey found that 10% of people believe that they have seen a UFO. Choose a sample…

A: Given,n=15p=0.1q=1-0.1=0.9A random variable X~Binomial(n=15 , p=0.1)P(X=x)=15x0.1x0.915-x   ;…

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: 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: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

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: ccording to a​ study, 58​% of all males between the ages of 18 and 24 live at home. ​ (Unmarried…

A: n = 226 x= 152 p = 0.58