An aircraft seam requires 30 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 youranswers to four decimal places.)(a) If 24% 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 11% of all seams need reworking?

The number of rivets = 30Probability that no rivets are defective = (1-p)30Probability that at least…

Answered: An aircraft seam requires 30 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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Similar questions

In an election, 18 percent of the people voting at a precinct vote against Proposition A. If voters are randomly being chosen to be surveyed. What is the probability that the first person interviewed against the proposition will be the 5th person interviewed. Your answer should be given to 4 decimal places?
Five plants are operated by a garment manufacturer. They feel there is a fifteen percent chance for a strike at any one plant and the risk of a strike at one plant is independent of the risk of a strike at another plant. Let X be the number of plants of the garment manufacturer that strike. Step 1 of 3 : Compute the probability that 33 of the plants will strike. Round your answer to four decimal places, if necessary.
Suppose that a clinical test for a rare disease produces 97% true positives and 95% of true negatives. It is also known that only 0.5% of the general population has the disease. What is the probability that a randomly selected individual with a positive test has the disease? Give your answer correct to four decimal places.
An aircraft seam requires 24 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 20% 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 9% of all seams need reworking?
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.)
question 2.
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?
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.)
From experience, an airline knows that only 75% of the passengers booked for a certain flight actually show up. If 6 passengers are randomly selected, find the probability that more than 4 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)
Question 1 A new car warehouse has 200 cars. It is known that 75% of the cars have air-conditioning, 30% are manual the rest are automatic. It is also known that 40% of the manual cars have air- conditioning. a. Complete the following table. automatic car manual car Total car has air-conditioning car does not have air-conditioning Total One car is selected at random, find the probability, giving all answers correct to three decimal places that the car b. has air-conditioning and is an automatic. c. has air-conditioning or is an automatic. d. has air-conditioning given that it is an automatic. e. is an automatic if it has air-conditioning.
Example 2.1 260 bolts are examined as they are produced. Five of them are found to be defective. On the basis of this information, estimate the probability that a bolt will be defective.

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