A pathology lab does not deliver 1010 percent of the test results in a timely manner. Suppose that in a given week, it delivered 395395 test results to a certain hospital. Assuming that the test results are independent from one another, determine the following probabilities: (a) At least 4545 test results were not delivered in a timely manner.  (b) Between 4040 and 5555 (inclusive) test results were not delivered in a timely manner.  (c) Under 4747 test results were not delivered in a timely manner.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question 1

A pathology lab does not deliver 1010 percent of the test results in a timely manner. Suppose that in a given week, it delivered 395395 test results to a certain hospital. Assuming that the test results are independent from one another, determine the following probabilities:

(a) At least 4545 test results were not delivered in a timely manner. 

(b) Between 4040 and 5555 (inclusive) test results were not delivered in a timely manner. 

(c) Under 4747 test results were not delivered in a timely manner. 

Question 2

The lifetime, in hours, of a head gasket of a cylinder in a car engine is distributed as lognormal with parameters α=10.328α=10.328 and β=1.575β=1.575.

(a) Determine the mean. 

(b) Determine the standard deviation. 

(c) Find the probability that the lifetime of the head gasket is between 57485748 and 84358435 hours. 

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0.1782
0.1782
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0.4619
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A pathology lab does not deliver 10 percent of the test results in a timely
manner. Suppose that in a given week, it delivered 395 test results to a certain
hospital. Assuming that the test results are independent from one another,
determine the following probabilities:
(a) At least 45 test results were not delivered in a timely manner.
0.1782
(b) Between 40 and 55 (inclusive) test results were not delivered in a timely
manner. 0.4619
(c) Under 47 test results were not delivered in a timely manner.
0.8958
Transcribed Image Text:Entered Answer Preview Result 0.1782 0.1782 incorrect 0.4619 0.4619 incorrect 0.8958 0.8958 incorrect A pathology lab does not deliver 10 percent of the test results in a timely manner. Suppose that in a given week, it delivered 395 test results to a certain hospital. Assuming that the test results are independent from one another, determine the following probabilities: (a) At least 45 test results were not delivered in a timely manner. 0.1782 (b) Between 40 and 55 (inclusive) test results were not delivered in a timely manner. 0.4619 (c) Under 47 test results were not delivered in a timely manner. 0.8958
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