A personal computer is used for office work at home, research, communication, personal finances, education,entertainment, social networking, and a myriad of other things. Suppose that the average number of hours ahousehold personal computer is used for entertainment is two hours per day. Assume the times for entertainmentare normally distributed and the standard deviation for the times is half an hour.a. Find the probability that a household personal computer is used for entertainment between 1.8 and 2.75 hoursper day.

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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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Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
An online retailer operates two independent warehouses (A & B) where it keeps its inventory. Each warehouse has a .05 probability of experiencing a fire. If a fire is experienced in a given warehouse, $1,000 in inventory will be lost. What is the pooled standard deviation of the warehouses per warehouse (round to the nearest whole number)?
The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $840 and a standard deviation of $260. Assume that the balances on all these Visa cards follow a normal distribution.a. What is the probability that a randomly selected Visa card issued by this bank has a balance between $1050 and $1420?Round your answer to three decimal places.P= Enter you answer in accordance to the item a) of the question statementb. What percentage of the Visa cards issued by this bank have a balance of $735 or more?Round your answer to two decimal places.P= Enter you answer in accordance to the item b) of the question statement %
A door-to-door salesperson is visiting houses in Hamilton to sell internet plans. The probability that a house decides to buy the internet plan is 25%. The salesperson visits 100 houses. Using normal approximation, determine the mean, standard deviation, and probability that less than 30 houses buy the internet plan.
The u.s. Bureau of labor statistics reported the mean hourly wage rate for individuals in executive, administrative, and managerial occupations is $26. Assume the population mean is $26 and the population standard deviation is $4. A sample of 115 individuals in executive, administrative, and managerial occupation will be selected. What is the probability that the sample mean will be greater than $27?
Suppose that you are studying the number of vehicles owned by a US household. You find that the average is 1.9 vehicles per household with a standard deviation of 2.8 vehicles per household. What is the most likely shape for the population described above? Find the probability that 40 randomly selected households have an AVERAGE number of vehicles greater than 2.5.
USA Today reported that about 22% of all people in the United State are illiterate. Suppose you interview 18 people at random off a city street. Find the mean and standard deviation of this probability distribution.
The Greenville Power Authority states that the mean monthly energy bill for their customers is $228 with a standard deviation of $38. They know that energy bills follow a normal distribution. a. Between what two values do we expect 99.7% of energy bill’s to fall? b. What is the probability of a randomly selected energy bill at least $190?
Citizens use an average of 650 pounds of paper a year. Suppose that the distribution is normal with a population standard deviation of 153.5 pounds. Suppose you take a random sample of 25 Citizens. What is the probability that the mean pounds of paper used in a year are between 500 and 700 pounds
Assume the average price for a movie is $7.35. Assume the population standard deviation is $0.44 and that a sample of 40 theatres was randomly selected. What is the probability that the sample mean will be less than $7.31?
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The waiting time before service in a bank is exponentially distributed with a mean waiting time of 5 minutes.a. What is the median waiting time.b. You enter the bank and find that your friend has been waiting in the queue for service for past 2 minutes. Upon your arrival what is the probability that your friend will wait for another 4 minutes?c. What is the mean and variance of the waiting time in the bank?

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