An aircraft seam requires 21 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimalplaces.)(a) If 23% of all seams need reworking, what is the probability that a rivet is defective?(b) How small should the probability of a defective rivet be to ensure that only 10% of all seams need reworking?

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Answered: An aircraft seam requires 21 rivets.…

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 1: Arizona’s “Cash 4” is a 4/26 lottery. The lottery costs $1 to enter. If you match allfour numbers, you win $10, 000; if you match three numbers correctly, you win $25; and if you matchtwo you numbers you win $2.Find the probability of winning first place. Repeat for second and third place.Question 2: Compute the probability of losing the Cash 4 lottery.Question 3: Use the preceding parts to compute the expected value of the Cash 4 lottery; be sureto include the cost of the ticket in your calculations.
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 5 Pennies 26 Dimes 18 Nickels 10 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.
An insurance company has written 50 policies for $125,000, 100 policies for $30,000, and 250 policies for $10,000 for people of age 20. If experience shows that the probability that a person will die at age 20 is 0.0012, how much can the company expect to pay out during the year the policies were written?
33% of a certain breed of rabbits are born with long hair. What is the probability that in a litter of 8 rabbits, exactly 1 will have long hair? (Give your answer correct to three decimal places.)
An aircraft seam requires 26 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 24% of all seams need reworking, what is the probability that a rivet is defective? 0.010 X (b) How small should the probability of a defective rivet be to ensure that only 5% of all seams need reworking?
Question 1 In a survey of top executives, it was found that 54% had either traveled internationally on business or could fluently speak a foreign language. The probability that an executive who had not traveled internationally could speak a foreign language was 20%. It was found that only 2% of the executives had traveled internationally and could speak a foreign language. Imagine we randomly pick a top executive who answered the survey. a.What is the probability that the executive has not traveled internationally and does not speak a foreign language fluently? b.What is the probability that the executive does not speak a foreign language fluently? c.What is the probaility that an executive has not traveled internationally? d. If we had a random sample of 10 top executives (who responded to the survey), what would be the probability that two had traveled internationally? -.
Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.
34% of a certain breed of rabbits are born with long hair. What is the probability that in a litter of 11 rabbits, exactly 6 will have long hair? (Give your answer correct to three decimal places.)
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 18 Pennies 14 Dimes 18 Nickels 9 Quarters What is the probability that you reach into the jar and randomly grab a quarter and then, without replacement, a penny? Express your answer as a fraction or a decimal number rounded to four decimal places.

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