(a) A new manufacturing facility is to be built. There are 15 possible sites. A team of engineers is commissioned to selecta shortlist of the three sites. Calculate the number of ways this can be done.Input your answer here:(b) The probability that a car will not develop a major fault within the first 3 years of its life is 0.997. Calculate theprobability that of 20 cars selected at random 19 or more will not develop any major fault in the first 3 years. Answercorrect to 4 decimal places.Input your answer correct to 4 decimal places here:

a) The total number of possible sites is 15.

Answered: (a) A new manufacturing facility is to…

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

During a laboratory experiment, the average number of radioactive particles passing through a counter in 1 millisecond is 4. What is the probability that 2 to 8 particles enter the counter in 2 millisecond?
Out of a sample of 10,000 men, the probability that a man picked at random weighs over 190 pounds is 0.25. The probability that a man weighs less than 135 pounds is 0.15. What is the probability that a man picked at random weighs either 190 pounds or under 135 pounds?
The probability that an electronic circuit board contains dirty particles is 0.01. Considering that the plates are independent, what is the probability that 125 plates will be analyzed until we find the first particle?
The probability of having 3 boys out of 4 children is to be determined. A simulation is conducted in which the experimental probability is exactly equal to theoretical actual probability. If the event occured 53 times during trials, how many trials were conducted.
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
A dodechedral die (one with 12 sides, numbered from 1 to 12) is tossed once. Find the probability that the number on the upward face is not 10.
The records of an Italian shoe manufacturer show that 10% of shoes made are defective. Assuming independence, find the probability of getting 2 defective shoes in a batch of 12.
A group of people were asked if they had run a red light in the last year. 487 responded "yes", and 184 responded "no". Find the probability that if a person is chosen at random, they responded "yes". Answer: Give your answer as a decimal, rounded to the nearest thousandth.
A die is rolled 7 times. Find the probability of rolling no more than 4 ones. The probability of rolling no more than 4 ones is nothing. (Type an integer or decimal rounded to four decimal places as needed. Round all intermediate values to four decimal places as needed.)
A certain disease has an incidence rate of 0.2%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.

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