a. Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls. If he calls on four potential clients, what is theprobability that he makes exactly three sales? What is the probability that he makes exactly four sales?b. If 10% of all disk drives produced on an assembly line are defective, what is the probability that there will be exactly one defect in a random sample of five disk drives?What is the probability that there will be no defects in a random sample of five disk drives?

(a) P(make sale) = p = 0.70sample size n = 4 x= no. of sales madeP(x=3) = ?p(x=4) =?(b)…

Answered: a. Gary Schwartz is the top salesman…

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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2. A psychology class consists of 14 males and 36 females. If the professor selects names from the class list using random sampling, a. What is the probability that the first student selected will be a female? 8. I b. If a random sample of n = 3 stu dents is selected and the first two are both females, what is the prob- ability that the third student selected will be a male? CRE NA
An insurance company found that 2.4% of male drivers between the ages of 18 and 25 are involved in serious accidents annually. To simplify the analysis, assume that every such accident costs the insurance company $62,000 and that a driver can only have one of these accidents in a year. Complete parts (a) through (c). (a) If the company charges $2,600 for such coverage, what is the chance that it loses money on a single policy? P(loses money)= .024 (Type an integer or a decimal.) (b) Suppose that the company writes 1,000 such policies to a collection of drivers. What is the probability that the company makes a profit on these policies? Assume that the drivers don't run into each other and behave independently. P(profit) = .976 (Round to five decimal places as needed.)
A life insurance company has found a 3% probability that a randomly selected application contains an error. Assume applications are mutually independent. An auditor randomly selects 100 applications. What is the probability that 95%, or less, of the selected applications, are error free?
5. Big babies: The Centers for Disease Control and Prevention reports that 25% of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 150 babies is studied. a. Approximate the probability that more than 40 weigh more than 20 pounds. b. Approximate the probability that 35 or fewer weigh more than 20 pounds. c. Approximate the probability that the number who weigh more than 20 pounds is G 20
4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?
1. The probability that a manufactured bulb works properly is 98%. a. In a pack of six, what's the probability that all bulbs work? b. In a pack of six, what's the probability that 4 or less work? c. In a pack of 8, what's the probability that more than 5 work? d. In a pack of 10, what's the probability that exactly half work? In a pack of 4, what's the probability that all are broken?
In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken. a. What is the probability that exactly eight are retired people? b. What is the probability that 10 or more are retired people? c. How many retired people would you expect to find in a random sample of 25 stock investors? d. Suppose a random sample of 20 U.S. adults is taken. What is the probability that exactly eight adults invested in mutual funds? e. Suppose a random sample of 20 U.S. adults is taken. What is the probability that fewer than five adults invested in mutual funds? f. Suppose a random sample of 20 U.S. adults is taken. What is the probability that exactly one adult invested in mutual funds? g. Suppose a random sample of 20 U.S. adults is taken. What is the probability that 11 or more adults invested in mutual…
A manufacturing machine has a 5% defect rate. If 10 items are chosen at random, what is the probability that at least one will have a defect?
10. According to a Los Angeles Medical Malpractice Law Firm, there are on average 12,414 cases of medical malpractice reported to the NPDB annually. Of these, approximately 5,342 are due to negligence. a. Calculate the probability that an individual randomly selected medical malpractice report is due to negligence. b. Calculate the probability that an individual randomly selected medical malpractice report is not due to negligence. C. It 4 different malpractice suits were randomly selected, what is the probability that all four were not due to negligence.
Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector randomly selects three players from the production line. What is the probability that exactly one of these three blue ray players is defective?
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Consider records of a company’s account balances. Twenty percent contain errors. Of those balance in errors, 80% are regarded as unusual values based on historical figures. Of all the account balances, 25% were unusual values. If the figure for a particular balance appears unusual on this basis, what is the probability that it is in error?

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