A city has just added 100 new female recruits to its police force. The city will provide a pensionto each new hire who remains with the force until retirement. In addition, if the new hire ismarried at the time of her retirement, a second pension will be provided for her husband. Aconsulting actuary makes the following assumptions:(i) Each new recruit has a 0.3 probability of remaining with the police force until retirement.(ii) Given that a new recruit reaches retirement with the police force, the probability that sheis not married at the time of retirement is 0.4.(iii) The number of pensions that the city will provide on behalf of each new hire isindependent of the number of pensions it will provide on behalf of any other new hire.Determine the probability that the city will provide at most 55 pensions to the 100 new hiresand their husbands. Enter your answer as a number accurate to 4 decimal places.D

A city has just added 100 new female recruits to its police force. A consulting actuary makes the…

Answered: A city has just added 100 new female…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 60% can be repaired, whereas the other 40% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly two will end up being replaced under warranty?
A company sends its products from 3 warehouses, namely from warehouse A=30%, warehouseB=20% and from warehouse C=50%. Based on complaints from customers, it is known thatthe percentage of defective products sent from each warehouse is as follows: A=3% , B= 5% and from warehouse C= 2%.a. Suppose a customer after ordering the product, the next dayComplained that the item was defective. What is the probability that the product receivedthe customer is from warehouse C? b. If another customer who also orders the product and getsthe goods are in good condition, what is the probability that the product received by the customerdoes it come from warehouse A?
According to recent passport data, the percentage of people in a particular country who have a passport has risen dramatically. In 2007, only 30% of the country's citizens had a passport; in 2017 that percentage had risen to 45%. Assume that currently 45% of the citizens have a passport. Suppose 45 citizens of the country are selected at random. ... a. Find the probability that fewer than 18 have a passport. The probability that fewer than 18 have a passport is (Type an integer or decimal. Round to three decimal places as needed.)
An insurance company calculates car insurance premiums based on the age of the policyholder according to three age groups: Group A consists of drivers younger than 22 years old; Group B consistsof drivers 22—33 years old, and Group C consists of drivers older than 33 years.Its portfolio consists of 10% Group A policyholders, 38% Group B policyholdersand 52% Group C policyholders.The probability of a claim in any 12 month period for a policy belonging to GroupA, B or C is 13%, 3% and 2%, respectively.(i) Calculate the probability that a randomly chosen policy holder from thisportfolio will make a claim during a 12 month period. One of the company’s policyholders has just made a claim(ii) Calculate the probability that the policy holder is younger than 22 years.
According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two randomly selected Americans and assume that these two randomly selected Americans are independent of each other. The probability that neither of these two randomly selected Americans will contract the influenza virus in a given year is
With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular population are respectively, 60%, 30%, and 10%. Furthermore, the percentages of these genotypes that contract a certain disease are respectively. 1%, 5% and 20%. If a person does contract the disease, what is the probability that the person is of genotype AA?
Question 3: A package is being delivered to your home by one of the following shipping carriers: Postal Service, FedEx, or UPS. Suppose 40% of all packages are shipped by the Postal Service, 25% are shipped by FedEx, and 35% are shipped by UPS. The probability of the package being lost by these shipping carriers is 5%, 3%, and 7%, respectively. a) What is the probability that your package is lost? b) Given your package is lost, what is the probability that it was shipped by UPS?
If Johnny plays Russian Roulette twice, by spinning a revolver containing one bullet in one of the six chambers between each shot, what is the probability he doesn't shoot himself either time?
An insurance company calculates car insurance company calculates car insurance premiums based on the age of the policyholder according to three age groups: Group A consists of drivers younger than 22 years old; Group B consists of drivers 22—33 years old, and Group C consists of drivers older than 33 years.Its portfolio consists of 10% Group A policyholders, 38% Group B policyholders and 52% Group C policyholders. The probability of a claim in any 12 month period for a policy belonging to Group A, B or C is 13%, 3% and 2%, respectively. (i) Calculate the probability that a randomly chosen policy holder from this portfolio will make a claim during a 12 month period. One of the company’s policyholders has just made a claim(ii) Calculate the probability that the policy holder is younger than 22 years.

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