2. Write the given, marginal and conditionalprobability. It should be handwritten.3. Write the mathematical model using the BayesianRule. It should be handwritten.4. Substitute the given before writing the final answer.(handwritten) Suppose that the four inspectors at a film factory aresupposed to stamp the expiration date on each package offilm at the end of the assembly line. John, who stamps20% of the packages, fails to stamp the expiration dateonce in every 200 packages. Tom, who stamps 60%of thepackages, fails to stamp the expiration date once in every100 packages. Benjie, who stamps 15% of the packages,fails to stamp the expiration date once in every 90packages; and Michael, who stamps 5% of the packages,fails to stamp the expiration date once in every 200packages.a. If a customer complains that her package of the filmdoes not show the expiration date, what is the probabilitythat it was inspected by john?b. If a customer complains that her package of the filmdoes not show the expiration date, what is the probabilitythat it was inspected by Tom?c. If a customer complains that her package of the filmdoes not show the expiration date, what is the probabilitythat it was inspected by Benjie?d. If a customer complains that her package of the filmdoes not show the expiration date, what is the probabilitythat it was inspected by Michael?e. Who among the employees forget to stamp theexpiration date in the package of the film? What are yougoing to do to the employee?

AS PER POLICY I HAVE CALCULATED 3 SUBPART

Answered: a. If a customer complains that her…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question 11
An insurance company prices its Tornado Insurance using the following assumptions: In any calendar year, there can be at most one tornado. In any calendar year, the probability of a tornado is 0.15. The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. Using the insurance company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 15-year period. Round your answer to four decimal places.
Suppose a life insurance company sells a $270,000 one-year term life insurance policy to a 22-year-old female for $230. The probability that the female survives the year is 0.999552. Compute and interpret the expected value of this policy to the insurance company. The expected value is $. (Round to two decimal places as needed.)
On a certain chemistry class, a professor has observed that, on her past final exams, 72% of the students pass the final exam. Assume that students in the current class perform similarly. a. If the professor currently has a large lecture class of 125 students. What is the ESTIMATE probability that 75 to 100 students will pass the final exam? b. In addition to the large lecture, if the professor has an evening class of 30 students, what is the ACTUAL probability that 18 to 22 students will pass the final exam?
A company prices its tornado insurance using the following assumptions:• In any calendar year, there can be at most one tornado.• In any calendar year, the probability of a tornado is 0.08.• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 21-year period.
Consider an M/M/1 queuing system with mean inter arrival time of 4 minutes. The average service time for each customer is 3 minutes. The probability that there are 3 arrivals in the system is closest to O a. None of these O b. 0.105 Oc. 0.895 O d. 0.422
A study of hospital admissions in New York State found that of the admissions led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in death, and one-fourth were caused by negligence. Malpractice claims were filed in one out of cases involving negligence, and payments were made in one out of every two claims. a. What is the probability a person admitted to the hospital will suffer a treatment-caused injury due to negligence (to decimals)? b. What is the probability a person admitted to the hospital will die from a treatmen-caused injury (to decimals)? c. In the case of a negligent treatment-caused injury, what is the probability a malpractice claim will be paid (to decimals)?
A recent survey of 1022 employees found that 26% of them would lay off their bosses if they could. Complete parts a through d below based on a random sample of 10 employees. ... a. What is the probability that exactly three employees would lay off their boss? The probability is (Round to four decimal places as needed.) b. What is the probability that three or fewer employees would lay off their bosses? The probability is (Round to four decimal places as needed.) c. What is the probability that five or more employees would lay off their bosses? The probability is (Round to four decimal places as needed.) d. What are the mean and standard deviation for this distribution? The mean number of employees that would lay off their bosses is (Type an integer or a decimal. Do not round.) The standard deviation of employees that would lay off their bosses is approximately (Round to four decimal places as needed.) 4
A life insurance salesman operates on the premise that the probability that a man reaching his sixtieth birthday will not live to his sixty-first birthday is 0.050.05. On visiting a holiday resort for seniors, he sells 1010 policies to men approaching their sixtieth birthdays. Each policy comes into effect on the birthday of the insured, and pays a fixed sum on death. All 1010 policies can be assumed to be mutually independent. Provide answers to the following to 3 decimal places.Part a)What is the expected number of policies that will pay out before the insured parties have reached age 61?Part b)What is the variance of the number of policies that will pay out before the insured parties have reached age 61?Part c)What is the probability that at least two policies will pay out before the insured parties have reached age 61?
Based on a poll, among adults who regret getting tattoos, 24% say that they were too young when they got their tattoos. Assume that six adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (a) below.
A recent survey of 1123 employees found that 38% of them would lay off their bosses if they could. Complete parts a through d below based on a random sample of 12 employees. a. What is the probability that exactly three employees would lay off their boss? The probability is (Round to four decimal places as needed.)

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a. If a customer complains that her package of the film does not show the expiration date, what is the probability that it was inspected by john?