Suppose we have a sample space S and two events A and B such that S= AUB and An B= Ø and an event E, Suppose we have the following results: • P(A) = 1/3 P(B) = 2/3 P(E|A) = 1/2 P(E|B) = 1/4 What is P(E) ? Write your answer as a single fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by cancelling factors common to the numerator and denominator but you do not need to do this.

Q: 8. 250 randomly selected (130 male, 120 female) Skyline students were asked a yes or no question,…

A: Answer:- Given, Total number of skyline students= 250 Male = 130 and female= 120  Using formula, P(…

Q: A and B are disjoint events in sample space S . If Pr(A)=0.27, and Pr(B)=0.22, find the probability…

A: Given A and B are disjoint event P(A)=0.27, and P(B)=0.22

Q: Two events A and B are such that P(A) = 1/4, P(A / B)=1/3, P(B /A) = 1/2. Find P(A / B). Select one:…

A: Solution: From the given information,

Q: Suppose that ?(?)= 0.7 and ?(?)= 0.2. If both events are disjoint, then what is ?(? ?? ?)?  (a) 0…

A: Solution

Q: (6) If A and B are two events of a sample space N such that ACB then P(B|A) = (a) 를 (b)를 (e) 를 (c)…

A: The formula to find P(B|A) is:

Q: Finding P(r ≥ 6) means there could be exactly 6 males, exactly 7 males, exactly 8 males, or exactly…

A: The question is about discrete probability distribution Given : No. of trials ( n ) = 9 Prob. of…

Q: . Then Var(X+Y+Z) is equal to:

A: Here x , y and z are independent variables  So covariance between them are zero

Q: Among each 100 products of a factory, 4 are defective. If 4 products are picked randomly what is the…

A: We want to find the following probability  P(x≤3)

Q: 1. (A) & n(A), (B) & n(B) 2. AUB 3. Probability of (A) 4. (A} &n (A)

A:

Q: I need help with this

A: Solution: 2. From the given information, the statement is “The probability of rain today is 25%”.

Q: a sample space S, it P(a) = = 0, then A is dependent of any other event. O a. b. False True

A: We have given that,  In a sample space S, if P(a) = 0, then A is independent of any other event?…

Q: An experiment consists of rolling a single die. Two events are defined as: A = {a 4 shows up}, and B…

A: It is given that the experiment consists of rolling a single die. Thus, sample space will be…

Q: For two independent events A and B, if P(AN B) = 0.0048 and P(B) = 3P(A), then P(A) is equal to: O…

A:

Q: When randomly selecting adults, let M denote the event of randomly selecting a male and let B denote…

A: Solution

Q: Suppose that E and F are two events and that N(E and F)=340 and N(E)=720. What is P(F|E)​?…

A: Given,  N(E and F)=340 and N(E)=720.

Q: Using the law of total probabilty Suppose we have a sample space S and two events A and B such that…

A:

Q: For two events, A and B, we have P(A) = 0.85, P(B) = 0.65, and P(AUB) = 0.9. Then, the value for…

A: P(A)  = 0.85  P(B) = 0.65  P(A∪B) = 0.9P(B|A) = ?

Q: 4. Events A and B are such that P(A) =P(A|B) =,P(B) = a) Find P(B|A) b) Find P(BnA) c) Are events A…

A:

Q: The sample space for the rolling of two fair dice is shown in the accompanying table. Reproduce…

A: We will make a table for the sum of two dice sum Outcomes Number of outcomes Probability…

Q: A) ? B)? C) ?

A: A) The probability of winning the first prize with your third purchase is, Thus, the probability of…

Q: Suppose A and B are events in a sample space with P(A)=0.7, P(B)=0.48, P(B∪A)=0.88 answer the…

A: GIVEN DATA :  Two  events A & B in a sample space with PA=0.7, PB=0.48 and PB∪A=0.88       TO…

Q: Suppose we have a sample space S and three events A, B, and C such that S = AUBUC and ANB= A and an…

A: To find p(E) :

Q: Suppose that events M and N are independent, P(M)= 0.6, and P(N) = 0.8 What is P(M and N)?…

A: Answer: From the given data, P(M) = 0.6 P(N) = 0.8

Q: In a study of pain relievers, 100 people were given product A, and all but 32 experienced relief. In…

A: The objective of the question is to determine which product, A or B, performed better in the study…

Q: Suppose all 8 posslble outcomes of an experiment are equally Ilkely and denoted as E1, E2, E3, E4,…

A: Total number of outcome is =8 Event A={E3,E4,E5} The number of favourable outcome is =3

Q: According to a report, 71.9% of murders are committed with a firearm. (a) If 400 murders are…

A: Given, Probability of murders by a firearm = 71.9% = 0.719

Q: B: If we throw piece of dice (two) times, the event(A) represent appearance of two sides are…

A: Solution :  Given : Throw of piece of dice two times  ∴ n(S) = 36 Let, Event A : Appearance of two…

Q: The two last subparts please (d and e

A: (d) The number of numbers from 1 to 1000 divisible by 5 is 1000/5=200. If we want to count the…