A blood bank is conducting a study on how much time is required of their patients for blood platelet donations. Based on past records, time spent in the waiting room has a mean of 5 minutes and a standard deviation of 1 minute, time spent with a nurse who reviews patients' medical records and measures their vital signs has a mean of 10 minutes and a standard deviation of 3 minutes, and the actual donation time has a mean of 130 minutes and a standard deviation of 8 minutes. Assuming these three times are independent and can all be modeled using a normal distribution, approximately what proportion of donors finish the entire donation process in under 2.5 hours (150 minutes)? (A) 0.66 (B) 0.72 (C) 0.84 (D) 0.89 (E) 0.99

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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A blood bank is conducting a study on how much time is required of their patients for blood platelet
donations. Based on past records, time spent in the waiting room has a mean of 5 minutes and a
standard deviation of 1 minute, time spent with a nurse who reviews patients' medical records and
measures their vital signs has a mean of 10 minutes and a standard deviation of 3 minutes, and the
actual donation time has a mean of 130 minutes and a standard deviation of 8 minutes. Assuming
these three times are independent and can all be modeled using a normal distribution, approximately
what proportion of donors finish the entire donation process in under 2.5 hours (150 minutes)?
(A) 0.66
(B) 0.72
(C) 0.84
(D) 0.89
(E) 0.99
Transcribed Image Text:A blood bank is conducting a study on how much time is required of their patients for blood platelet donations. Based on past records, time spent in the waiting room has a mean of 5 minutes and a standard deviation of 1 minute, time spent with a nurse who reviews patients' medical records and measures their vital signs has a mean of 10 minutes and a standard deviation of 3 minutes, and the actual donation time has a mean of 130 minutes and a standard deviation of 8 minutes. Assuming these three times are independent and can all be modeled using a normal distribution, approximately what proportion of donors finish the entire donation process in under 2.5 hours (150 minutes)? (A) 0.66 (B) 0.72 (C) 0.84 (D) 0.89 (E) 0.99
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