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Refer to Exercise 3.90. If each test costs $20, find the
Chapter 3, Problem 91E(choose chapter or problem)
Problem 91E
Refer to Exercise 3.90. If each test costs $20, find the expected value and variance of the total cost of conducting the tests necessary to locate the three positives.
Reference
The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is requested to send three employees who have positive indications of asbestos on to a medical center for further testing. If 40% of the employees have positive indications of asbestos in their lungs, find the probability that ten employees must be tested in order to find three positives.
Questions & Answers
QUESTION:
Problem 91E
Refer to Exercise 3.90. If each test costs $20, find the expected value and variance of the total cost of conducting the tests necessary to locate the three positives.
Reference
The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is requested to send three employees who have positive indications of asbestos on to a medical center for further testing. If 40% of the employees have positive indications of asbestos in their lungs, find the probability that ten employees must be tested in order to find three positives.
ANSWER:
Solution:
Step 1 of 3:
It is given that employees of a firm are being tested for asbestos in their lungs.The medical centre requested to send three employees with positive indications of asbestos.
40% of the employees in the firm have positive indications of asbestos. Also, the cost of each test is $20.Now we have to find the mean and variance of the cost required to find three employees with positive indications of asbestos in ten employees.