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 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
(b) Determine the standard deviation.
(c) Find the
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