**Problem 8**A new battery labeled as 1.5 volts actually has a voltage described by a uniform distribution between 1.43 and 1.60 volts.a. What is the expectation of the voltage for a battery?b. What is the probability that a battery has a voltage less than 1.5 volts?c. If a box contains 50 batteries, what is the expected number of batteries in the box with a voltage less than 1.5 volts?

New battery labeled as 1.5 volts actually has a voltage described by a uniform distribution between…

Answered: A new battery labeled as 1.5 volts…

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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It has been estimated that only about 25% of residents in Ventura County have adequate earthquake supplies. Suppose you randomly survey 5 residents in the County. Let X be the number of residents who have adequate earthquake supplies. Please show the following answers to 4 decimal places. a. What is the probability that exactly 2 residents who have adequate earthquake supplies in this survey? b. What is the probability that less than 2 residents who have adequate earthquake supplies in this survey? c. What is the probability that at most 2 residents who have adequate earthquake supplies in this survey? d. What is the probability that between 1 and 3 (including 1 and 3) residents who have adequate earthquake supplies in this survey?
According to a recent National survey of 200 High School students of driving age, 43 percent stated they text while driving at least once. Assume this percentage represents the true population proportion of High School student drivers who text while driving. Determine the probability that more than 53% High School students have texted while driving. a. 0.9979 b. none of these d. 0.0021 Oe.0.0286
The police have estimated that there are twelve major accidents per day on a particular 10-mile stretch of a national highway. Suppose the incidence of accidents is evenly distributed on this 10-mile stretch of the highway. a. Find the probability that there will be fewer than eight major accidents in this 10-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability b. Find the probability that there will be more than two accidents in a 1-mile stretch of this highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability
The Smith family was one of the first to come to the U.S. They had 7 children. Assuming that the probability of a child being a girl is .5, find the probability that the Smith family had:at least 5 girls?Is it correct answer 0.2266?at most 5 girls? Is it correct answer 0.9375?
Assume that 35% of people have sleepwalked. Assume that in a random sample of 1515 adults, 537 have sleepwalked. a. Assuming that the rate of 35% is correct, find the probability that 537or more of the 1515 adults have sleepwalked. b. Is that result of 537 or more significantly high? c. What does the result suggest about the rate of 35%?
Here is the probability model for the blood type of a randomly chosen person in the United States: Blood Type OA BAB Probability 0.2 0.47 0.11 ?
Seventy-five percent of the students applying to a university are accepted. Using the binomial probability tables, what is the probability that among the next 18 applicants d. Fifteen or more will be accepted? e. Determine the expected number of acceptances. f. Compute the standard deviation.

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