Q1. A computer-consulting firm presently has bids out on three projects. Let A, = awarded project i, for i = 1, 2,3. Suppose that P(A)= .22, P(A,) =.25, P(A,)=.28, P(An4,) =.11, P(A,0 4,) = .05, P(A, ^ 4,) = .07, P(A^ 4,0 4.) = .01. %3D A. Express in words each of the following events, and compute the probability of each event. a. A, U A,, b. An A n 4, c. AfN A, N A,, and B. Are the three events pairwise independent? Find the conditional probability, P(A, I A) and interpret the probability.

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Q1. A computer-consulting firm presently has bids out on three projects. Let
A, = awarded project i, for i = 1,2,3.
Suppose that P(A) =.22, P(A,) = .25, P(A,)=.28, P(A, n4,) =.11,
P(40 4,) = .05, P(A,n 4,) = .07, P(404,0 4.) =.01.
A. Express in words each of the following events, and compute the
probability of each event.
а. А U A,
b. An 404,
c. Afn A, n A,, and
B. Are the three events pairwise independent? Find the conditional probability,
P(A, I A) and interpret the probability.
Transcribed Image Text:Q1. A computer-consulting firm presently has bids out on three projects. Let A, = awarded project i, for i = 1,2,3. Suppose that P(A) =.22, P(A,) = .25, P(A,)=.28, P(A, n4,) =.11, P(40 4,) = .05, P(A,n 4,) = .07, P(404,0 4.) =.01. A. Express in words each of the following events, and compute the probability of each event. а. А U A, b. An 404, c. Afn A, n A,, and B. Are the three events pairwise independent? Find the conditional probability, P(A, I A) and interpret the probability.
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