A manager from a certain well known department store found out the money their customers carry into the store is normally distributed with a mean of $258 dollars and a standard deviation of $35. In a sample of 76 Americans who walked into that store find the probability that a random customer will have more than $260 in his or her wallet.

A manager from a certain well known department store found out the money their customers carry into the store is normally distributed with a mean of $258 dollars and a standard deviation of $35. In a sample of 76 Americans who walked into that store find the probability that a random customer will have more than $260 in his or her wallet.

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...

See similar textbooks

Similar questions

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 40 seconds. Find the probability that a boy takes between 380 and 425 seconds.
The average cholesterol content of a certain canned goods is 215milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed. If a canned good is selected, what is the probability that the cholesterol content will be greater than 200 milligrams?
The weights of ice cream cartons are normally distributed with a meanweight of 10 ounces and a standard deviation of 0.5 ounce. You randomly select 4 cartons. What is the probability that their mean weight is greater than 10.40 ounces?
Suppose 36% of movie goers say comedy is their favorite genre. If a random sample of 120 movie goers is taken, what are the mean and standard deviation of the number of movie goers that prefer comedy?
According to the U.S. Department of Agriculture, the amount of soft drinks consumed by people in the U.S. in a recent year was normally distributed with a mean of 53.0 gallons and a standard deviation of 17.1 gallons. A random sample of 25 people is selected from the population. What is the probability that the mean of this sample is above 60 gallons
In a recently conducted study, families reported using an average of 70 gallons of gasoline per month with a standard deviation of 8 gallons. If a family is chosen at random, what is the probability that it uses between 61 and 79 gallons of gasoline per month? Assume the data is normally distributed.
Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars. For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.
Almost all medical schools require applicants to take the Medical College Admission Test (MCAT). Scores on the MCAT are approximately Normal with a mean of 25 and a standard deviation of 6.5. If the School of Health Sciences interviews one WSSU student about their score on the MCAT. What is the probability that their score be between 21 and 30?
The time college students spend on the Internet follows a Normal distribution. At Johnson University, the mean time is 5 hours with a standard deviation of 1.2 hours. What is the probability that the average time 100 random students on campus will spend is between 1 hour and 5 hours on the Internet? 0.2 0.5
LightCastle Partners, a Bangladeshi business management consultant, employs a large number of data analysts to analyze the data in a survey project. The time it takes for new data analysts to learn the analysis procedure is known to have a normal distribution with a mean of 99 minutes and a standard deviation of 14 minutes. a. What is the probability that the new data analysts will take more than 103 minutes to learn the analysis procedure? b. What is the probability that the new data analysts will take between 65 to 134 minutes to learn the analysis procedure? c. To maintain employee standars, LightCastle does not hire any analyst who fails to learn the process within a specified time. Therefore, what should be the specified time limit if they wish to retain at most 91.24% of new analysts?
The monthly earnings of computer systems analysts are normally distributed with a mean of $4,300. If the probability that a systems analyst earns a monthly income of more than $6,140 is 0.015, what is the value of the standard deviation of the monthly earnings of the computer systems analysts?
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.