Example 8.5:Traveling between two campuses of a university in a city via shuttle bus takes,on average, 28 minutes with a standard deviation of 5 minutes. In a givenweek, a bus transported passengers 40 times. What is the probability thatthe average transport time was more than 30 minutes? Assume the meantime is measured to the nearest minute

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Answered: Example 8.5: Traveling between two…

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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Suppose that the monthly charges for cell phone plans in the United States are normally distributed with a mean of $93 and a standard deviation of $19. What is the probability that any one cell phone user has a monthly plan that exceeds $76? Round your answer to at least three decimal places.
Central Limit Theorem 2. According to the International Graduation Association, on average, high school girls in Canada spend $\$ 223.55$ on a prom dress with a standard deviation of $\$ 18.14$. If 76 high school girls are surveyed in Canada, what is the probability that the mean cost of their dresses is between $\$ 225.00$ and $\$ 228.00$ ? 3. It has been estimated that $23 \%$ of nurses are offered to work overtime on a regular basis. If we randomly selected 225 nurses, what is the probability that $25 \%$ or less of them will be offered overtime on a regular basis? SP.VS.717
Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil change facility will perform 40 oil changes between 10 AM and 12PM. Treating this as a random sample, there would be a 10% chance of the mean oil change time being at or below what value.
Suppose that the average loan taken out by small-sized businesses from a commercial bank is $275,000. If the loan sizes are normally distributed with a standard deviation of $25,000, find each of the following: A. The probability that a small-sized business takes out a loan of more than $325,000. B. The probability that a small-sized business takes out a loan between $245,000 & $310,000.
One year, the distribution of salaries for professional sports players had a mean of $1.6 million and a standard deviation of $0.7 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players that year exceeds $1.1 million.
A population has an average of 125 and a standard deviation of 15. Calculate the probability that in a sample of size 75, the sample mean is greater than 130.
Traveling between EDC campus and Gulshan campus of Iqra university via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? Assume the mean time is measured to the nearest minute.
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
Each month, an American household generates an average of 28 pounds of garbage. Assume the standard deviation is 2.5 pounds. If a household is selected at random, find the probability of the following: A household averaging between 27 and 31 pounds per month (5) A household averaging more than 30.2 pounds per month A street with 25 houses averaging more than 30 pounds per month.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Solve Q3 correctly and clear
Example 24 : In eight throws of a die 5 or 6 is considered a success. Find the mean number of success and the standard deviation.

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