An actuarial student studying for Exam P has an option to purchase probability books by Robert, Smith, and/or Taylor. A total of 72% ofstudents buy only one of these books (with all books having the same probability), and 18% buy only two books (with each pair of bookshaving the same probability). The probability that a student bought all three books given that he bought Robert's and Taylor's books is 40%.What is the probability that a student who did not buy Smith's book did not buy any book at all?A10%B11%17%D20%E21%

GivenThe three books are by Robert, Smith, Taylor. The probability that only one book is bought =72%…

Answered: An actuarial student studying for Exam…

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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at a certain school, 34% of the students will qualify for financial aid type A and 19% will qualify for financial aid type b. if it is known that 5.1% of the students will qualify for both types of financial aid find: find the probability that a student will qualify for financial aid (at least one of either type A or type B) the probability that a student will qualify for type a and not type b
Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
A group of friends plans to have a picnic in the park, but the weather forecast shows a 60% chance of rain. If three friends decide to go ahead with the picnic regardless of the weather, what is the probability that exactly two of them will get rained on?
At a certain company, the mentoring program and the community outreach program meet at the same time, so it is impossible for an employee to do both. If the probability that an employee participates in the mentoring program is 0.43, and the probability that an employee participates in the outreach program is 0.32, what is the probability that an employee does the mentoring program or the community outreach program?
A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 7 cars needs to have oil added. If this is true, what is the probability of each of the following A. One out of the next four cars needs oil. Probability = B. Two out of the next eight cars needs oil. Probability = C. 10 out of the next 40 cars needs oil, Probability =
Kevin is playing basketball with joy. Based on existing experience, kevin generally managed to make 8 free throws out of 10 throws. Unlike Kevin, generally joy only managed to make 3 free throws out of 10 throws. That afternoon, the two of them competed with each other for free throws. If it is assumed that both Kevin and Joy are free throws and have an equal chance of entering the ring, a. What is the probability that out of 5 free throws made by Joy, only two make it into the ring? b. What is the probability that Kevin's third throw is a free sheet that goes into the ring? c. What is the probability that Joy's sixth throw is the second free throw that makes it into the ring?
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)
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A company requires all job applicants to undergo drug testing for employment. If the applicant has used drugs the test has a 90% chance of a positive result. If the applicant has not used drugs the test has an 85% chance of a negative result. 4% of all applicants have used drugs. If an applicant has a positive test, what is the probability he or she has actually used drugs?
Assume that 50% of the students at the university have taken four years of high school math. Of those with four years of high school math, 60% plan to major in science. Of those without four years, Only 25% plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that the student had four years of high school math?
A cell phone company collects the following data for a month on their customers:The company plans to build a cell phone tower at any one of the areas. It is based on the probability of a customer available in a particular area in the month.Which area will they choose to build the tower?
A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he likes, a male and female puppy from each of the four breeds of terrier, briard, dachshund, and maltese. The puppies are each so cute that he cannot make up his mind, so he decides to pick the dog randomly. Find the probability that the man chooses a male puppy. The probability of choosing a male puppy is (Type a simplified fraction.) ...

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