A local library is analyzing the number of books checked out by patrons in a week. The probability distribution is given as follows: Number of Books (X) Probability (P(X)) 0 1 23 4 5 0.05 0.10 0.25 0.30 0.20 0.10 (a) What is the probability that a patron checks out more than 2 books? (b) Determine the variance in the number of books checked out.

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A local library is analyzing the number of books checked out by patrons in a week. The probability
distribution is given as follows:
Number of Books (X) Probability (P(X))
0
1
23
4
5
0.05
0.10
0.25
0.30
0.20
0.10
(a) What is the probability that a patron checks out more than 2 books?
(b) Determine the variance in the number of books checked out.
Transcribed Image Text:A local library is analyzing the number of books checked out by patrons in a week. The probability distribution is given as follows: Number of Books (X) Probability (P(X)) 0 1 23 4 5 0.05 0.10 0.25 0.30 0.20 0.10 (a) What is the probability that a patron checks out more than 2 books? (b) Determine the variance in the number of books checked out.
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