Question: 3. Suppose that A1,A2,A3,A4, and A5 are five mutually exclusive and exhaustive events in a sample space S, and suppose that P(A1) = 0.2, P(A2)

3. Suppose that A1,A2,A3,A4, and A5 are five mutually exclusive and exhaustive events in a sample space S, and suppose that P(A1) = 0.2, P(A2) = 0.1, P(A3) =

0.15, P(A4) = 0.3, and P(A5) = 0.25. Another event E in S is such that P(E|A1) =

0.2, P(E|A2) = 0.1, P(E|A3) = 0.35, P(E|A4) = 0.3, and P(E|A5) = 0.25. Find the probabilities P(A1|E), P(A2|E), P(A3|E), P(A4|E), and P(A5|E).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Probability Statistics Questions!

Suppose that A1, A2, A3, and B are events where A1, A2, and A3 are mutually exclusive and P (A1) = .2 P (A2) = .5 P (A3) = .3 P (B|A1) = .02 P (B|A2) = .05 P (B = A3) = .04 Use this information to...

1. Describe a sample space in rolling two six-side fair dice. Define the events: A= (at least one "6" appears), B= (the sum of dots on the dice is divisible by 3). Find AUB, A0B, A-B, B-A, A', B',...

PROBLEM '19 {IT-=12: A die was tossed 12E! times and the results are listed below. mun II -\"-E- Compute the 3:2 statistic for this 1 by 6 contingency table under the hypothesis that the die was...

Convex geometry 0.1 Dehn-Sommerville relations In this section we will talk about convex polytopes. One possible denition of a convex polytope uses the notion of a half-space: A closed half-space in...

Suppose that A1, A2 , A3 , and B are events where A1 , A2 , and A3 are mutually exclusive and P (A1) =.2 P (A2) =.5 P (A3) = .3 P (B A1) = .02 P (B A2) =.05 P( B A3 )=.04 Use this information to find...

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

A system consists of five identical components connected in series as shown: As soon as one components fails, the entire system will fail. Suppose each component has a lifetime that is exponentially...

2. Suppose A1, A2, A3 and A4 are four mutually exclusive and exhaustive events. Also suppose P{A1} = 0.1 P{A2} = 0.2 P{A3} = 0.3 P{A4} = 0.4. Let B be an event such that P{A1B} = 0.05 P{A2B} = 0.15...

3 Use the Big M method and the two-phase method to nd the optimal solution to the following LP: max z 5x1 x2 s.t. 2x1 x2 6 s.t. x1 x2 4 s.t. x1 2x2 5 x1, x2 0 4 Use the simplex algorithm to nd the...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

a.-e. Repeat Problem 8, parts (a) through (e), but use orthogonal polynomials. f. Compare the results obtained here to those obtained in Problems 8 and 9. Problem 8 This problem uses the data...

Without the development of the World Wide Web by Tim Berners- Lee, the Internet is unlikely to have become a commercial medium. Discuss.

Samuel Perez, a graduate of Texas A&M University with 4 years of experience as a tax accountant, has recently begun a new position as a financial analyst. He was recently brought in as an assistant...

A random sample of size n = 50 is selected from a binomial distribution with population proportion p = .7. a. What will be the approximate shape of the sampling distribution of ? b. What will be the...