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A hospital receives a pharmaceutical delivery each morning at a time that varies uniformly between 7:00 AM and 8:00 AM. a) Find the probability that the delivery on a given morning will occur between 7:15 AM and 7:30 AM. b) What is the expected time and variance of the delivery time? c) Find the probability that the time of delivery will be within 1 standard deviation of the expected time, i.e. P(x-ox ≤ x ≤ μx + 0x).

A hospital receives a pharmaceutical delivery each morning at a time that varies uniformly between 7:00 AM and 8:00 AM. a) Find the probability that the delivery on a given morning will occur between 7:15 AM and 7:30 AM. b) What is the expected time and variance of the delivery time? c) Find the probability that the time of delivery will be within 1 standard deviation of the expected time, i.e. P(x-ox ≤ x ≤ μx + 0x).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1E
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2 a b and c
probability that in a random sample of 400 articles, between 30 and 50 (inclusive) articles will be defective. Remember to state all the conditions that need to be satisfied in order to use an appropriate approximation. 2. A hospital receives a pharmaceutical delivery each morning at a time that varies uniformly between 7:00 AM and 8:00 AM. a) Find the probability that the delivery on a given morning will occur between 7:15 AM and 7:30 AM. b) What is the expected time and variance of the delivery time? c) Find the probability that the time of delivery will be within 1 standard deviation of the expected time, i.e. P(x-ox ≤ x ≤ μx + Ox). 3. Suppose that people heights are normally distributed with mean of 170 cm and standard deviation of 6 cm. a) What proportion of people are between 165 cm and 175 cm tall? b) Find the minimum ceiling of an airplane such that at most 5% of people walking down the ciele will have to duck
Transcribed Image Text:probability that in a random sample of 400 articles, between 30 and 50 (inclusive) articles will be defective. Remember to state all the conditions that need to be satisfied in order to use an appropriate approximation. 2. A hospital receives a pharmaceutical delivery each morning at a time that varies uniformly between 7:00 AM and 8:00 AM. a) Find the probability that the delivery on a given morning will occur between 7:15 AM and 7:30 AM. b) What is the expected time and variance of the delivery time? c) Find the probability that the time of delivery will be within 1 standard deviation of the expected time, i.e. P(x-ox ≤ x ≤ μx + Ox). 3. Suppose that people heights are normally distributed with mean of 170 cm and standard deviation of 6 cm. a) What proportion of people are between 165 cm and 175 cm tall? b) Find the minimum ceiling of an airplane such that at most 5% of people walking down the ciele will have to duck
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