3. In testing a certain kind of truck tire over rugged terrain, it is found that 25% of the trucks fail to complete thetest run without a blowout. Of the next 16 trucks tested, find the probability thata. From 3 to 6 have blowouts, exclusive;b. Fewer than 4 have blowouts;c. More than 5 have blowouts.

Solution-: Given: Number of truck (n) =16, Probability of trucks fail to complete the test run…

Answered: 3. In testing a certain kind of truck…

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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A university study involves a simple random sample of 26 students taken from a population of 12,550. Undergraduate students make up 73% of the university's students. Determine the probability of selecting only undergraduate students?
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Suppose the proportion of the people who are married in the population is about 0.54 and consider the following experiment in which a researcher chooses at random 5 people from the population with replacement, recording each individual's marital status. Let the random variable, y, denote the number of people chosen who are married. Please answer the following: How many ways are there to draw exactly 3 married people in this experiment? On average, how many married individuals would be chosen? What is the probability of selecting one or fewer married people in this experment?
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L An elevator sign says that it can hold 30 people or 4800 lb. Suppose that the weight of a randomly chosen person is a random variable with mean 150 lb and standard deviation 20 lb. Find the approximate probability that the total weight of 30 randomly chosen people is greater than 4800 lb.
A home security system is designed to have a 99% reliability rate. Suppose that 15 homes equipped with this system experience an attempted burglary. Let x be the random variable denoting the homes equipped with this system experience an attempted burglary out of the 15 homes. a. What is the probability distribution of x? b. Find the probability that no alarms triggered. c. Find the probabilities of at least 8 alarms are triggered. d. Find the mean and variance of x
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. Assume that 10% of people are left-handed. Condsider a random sample of 5 people. What is the probability that all of them are left-handed. Please answer quickly

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