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Consider the following assignments of pr...

Consider the following assignments of probabilities for outcomes of sample space S = {1, 2, 3, 4, 5, 6, 7, 8}.
`{:("Number (X)",1,2,3,4,5,6,7,8),("Probability, P(X)",0.15,0.23,0.12,0.10,0.20,0.08,0.07,0.05):}`
Find the probability that
X is a prime number
(b) X is a number greater than 4.

Text Solution

Verified by Experts

The correct Answer is:
(a) 0.62 (b) 0.4
P(X is a prime number) = P(2) + P(3) + P(5) + P(7) = 0.23 + 0.12 + 0.20 + 0.07 = 0.62
P(X is a number greater than 4) = P(5) + P(6) + P(7) + P(8) = 0.20 + 0.08 + 0.07 + 0.05 = 0.04
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