Suppose we have the following facts of students in a large class 37% of them like math: 37% of them like English, 69% of them like English or history 10% of them like math and English; 11% of them like math and history: 9% of them like English and history 4% of them like math. English and history Let M. E and H denote the events that a randomly selected student from this class likes math, English and history respectively. (a) What is the probability a selected student likes just one of the subjects? (b) What is the probability that a student likes none of the three subjects? (c) Is a student liking math independent of a student liking history? Justify your answer mathematically. (d) If a random sample 6 students are chosen, what is the probability that exactly 3 of them like math?

Q: If ?(?) = 0.8, ?(?) = 0.5, ?(? ∪ ?) = 0.9, are events ? and ? independent events? Why or why not?…

A: Probability (1) = 0.8Probability (2) = 0.5 Probability (1 ∪ 2) = 0.9 We have to calculate that…

Q: If A and B are events with P(A)=0.4, P(A OR B)=0.96, and P(A AND B)=0.14, find P(B). Enter your…

A: P(A)=0.4P(A or B)=0.96P(A and B)=0.14

Q: Given P(A) = 0.72, P(B) = 0.81, and P(A or B) = 0.66, are events A and B mutually exclusive?

A: Explained below

Q: Consider two events, A and B, such that P(A) = 0.6, P(B) = 0.7 and P(A intersection B) = 0.4. What…

A: There are two events A and B, and their probabilities are shown below;.

Q: In how many different order could the police department arrange six suspects in a police lineup if…

A: In this question we will use basic of permutations and combinations and concept of probability and…

Q: In a General Social Survey of Americans in 1991, two variables, gender and finding life exciting or…

A: Let A is the event that a randomly chosen person is female. Let B is the event a randomly chosen…

Q: Given P(A) = 0.31, P(B) = 0.98, P(C) = 0.97 and that events A, B, and C are independent, what is…

A:

Q: For two events, A and B, P(A) = .5, P(B)= .4, and P(ANB) = .2. a. Find P(A|B). b. Find P(B|A). c.…

A: It is given that P(A)=0.5, P(B)=0.4 and P(A∩B)=0.2.

Q: Given P(A) = 0.62, P(B) = 0.78, P(C) = 0.61 and that events A, B, and C are independent, what is…

A:

Q: If P(A) = 0.4, P(B) = 0.2, and P(AU B) = 0.6, then P(AN B) = (a) Are events A and B independent?…

A:

Q: If A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B). %3D…

A: Given Information: PA=0.2PA OR B=0.61PA AND B=0.19To find PB

Q: Given P(A) = 0.86, P(B) = 0.08, and the fact that events A and B are independent, What is P(A and…

A:

Q: f A and B are events with P(A)=0.6, P(AorB)=0.98, P(AandB)=0.02, findP(B)

A: It is given that P(A)=0.6, P(A or B)=0.98 and P(A and B) =0.02.

Q: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…

A: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…

Q: Given P(A) = 0.32, P(B) = 0.44, and the fact that events A and B are independent, What is P(A and…

A: Solution: From the given information, P (A) = 0.32, P (B) = 0.44.

Q: Given P(A) = 0.141, P(B) = 0.130, and P(C) = 0.057, and that events A, B, and C are mutually…

A: P(A) = 0.141 P(B) = 0.130 P(C) = 0.057 Events A, B, and C are mutually exclusive i.e.…

Q: Suppose two events, A and B, are defined where P(A)=P(B)=.4 and P(AorB)=.65. What is P(AandB)

A: Given : P(A)=P(B)=.4 and P(AorB)=.65

Q: If A and B are independent events with P(A) = 0.1 and P(B) = 0.4, then P(A or B) is a. 0.46 O b. 0…

A: P(A) =0.1P(B) =0.4

Q: If P(A) = 0.30, P(B) = 0.20, P(A and B) = 0.09, what can be said about events A and B? Events A & B…

A: It is given that, P(A) = 0.30, P(B) = 0.20 and P(A and B) = 0.09.

Q: If A and B are mutually exclusive events with P(A) = .3 and P(B) = .5, then P(A∩B) =

A:

Q: Let a&b be events with p(a)=0.2,p(b)=0.8, & p(b/a)=0.3. Find p(a&b)

A: Given Information: A and B are two events. P(A) = 0.2, P(B) = 0.8, P(B|A) = 0.3 To find the…

Q: Suppose that A and B are two events for which P(A)=0.17, P(B)=0.71, and P(B|A)=0.39 Find each of the…

A:

Q: Given P(A) = 0.28, P(B) = 0.98 , and P(AorB) = 0.47 are events A and B mutually exclusive?

A: Given,

Q: H. Suppose that P ( A̅ ∩ B) = 0.3, P ( A̅ ∩ B̅) = 0.15, and P(A|B) = 0.5. Find P(A), P(A ∩B ).…

A: As per our guidelines we are suppose to answer only one question. P(A¯∩B)=0.3P(A¯∩B¯)=0.15P(A|…

Q: Suppose two events E and F are independent.  Which of the following is true?   (1 answer) A. P(E and…

A: Given that two events E and F are independent.

Q: Given P(A) = 0.78, P(B) = 0.49, P(C) = 0.45 and that events A, B, and C are independent, what is…

A: Given, P(A) = 0.78 P(B) = 0.49 P(C) = 0.45  that events A, B, and C are independent.       To find,…

Q: Given P(A) = 0.21, P(B) = 0.99, P(C) = 0.31 and that events A, B, and C are independent, what is…

A: We have given that  P(A) = 0.21, P(B) = 0.99, P(C) = 0.31 And events A, B and C are independent.

Q: Given P(A) = 0.88, P(B) = 0.97, P(C) = 0.90 and that events A, B, and C are independent, what is…

A: Solution: From the given information, P(A)=0.88, P(B)=0.97 and P(C)=0.90. Here, the events A, B and…