The distribution of number of hours worked by volunteers last year at a large hospital is approximately normal with mean 80 and standard deviation 7. Volunteers in the top 20 percent of hours worked will receive a certificate of merit. If a volunteer from last year is selected at random, which of the following is closest to the probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90 ? (A) 0.077 (B) 0.123 (C) 0.134 (D) 0.618 (E) 0.923

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Author:Amos Gilat
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The distribution of number of hours worked by volunteers last year at a large hospital is approximately normal
with mean 80 and standard deviation 7. Volunteers in the top 20 percent of hours worked will receive a
certificate of merit. If a volunteer from last year is selected at random, which of the following is closest to the
probability that the volunteer selected will receive a certificate of merit given that the number of hours the
volunteer worked is less than 90 ?
(A) 0.077
(B) 0.123
(C) 0.134
(D) 0.618
(E) 0.923
Transcribed Image Text:The distribution of number of hours worked by volunteers last year at a large hospital is approximately normal with mean 80 and standard deviation 7. Volunteers in the top 20 percent of hours worked will receive a certificate of merit. If a volunteer from last year is selected at random, which of the following is closest to the probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90 ? (A) 0.077 (B) 0.123 (C) 0.134 (D) 0.618 (E) 0.923
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