part b only please 3.54 An experiment results in one of three mutually exclusiveevents, A, B, or C. It is known that P(A) = .30,P(B) = .55, andP(C) = .15. Find each of the following probabilities:a. P(AUB)b. P(ANC)

Answered: 3.54 An experiment results in one of…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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part b only please

3.54 An experiment results in one of three mutually exclusive
events, A, B, or C. It is known that P(A) = .30,P(B) = .55, and
P(C) = .15. Find each of the following probabilities:
a. P(AUB)
b. P(ANC)

Expert Solution

Step 1

$g i v e n d a t a, e v e n t A, B, a n d C a r e m u t u a l l y e x c l u s i v e . h e r e g i v e n t h a t p (A) = 0.30 p (B) = 0.55 P (C) = 0.15 w e h a v e t o f i n d o u t t h e g i v e n p r o b a b i l i t i e s .$

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3.54 An experiment results in one of three mutually exclusive events, A, B, or C. It is known that P(A) = .30,P(B) = .55, and P(C) = .15. Find each of the following probabilities: a. P(AUB) b. P(ANC)