1. In a study of the life expectancy of 500people in a certain geographic region, themean age at death was 72 years oand thestandard deviation was 5.3 years. If asample of 50 people from this region isselected, find the probability that themean life expectancy will be less than 70years

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Answered: 1. In a study of the life expectancy of…

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 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.
A report claimed that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assuming the variable is normally distributed and the standard deviation is 3 hours. If 40 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.
3. Replacements times of TV sets are reported to follow a normal distribution having a mean of 8.5 years with standard deviation of 1.2 years. If 25 TV sets are selected, what is the probability that the replacement time is between 8.4 years and 9 years.
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.
The mean salary offered to students who are graduating from Coastal State University this year is $ 24,215 , with a standard deviation of $ 3678 . A random sample of 85 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 85 students is $ 24,500 or less?
A simple random sample of 1000 observations is taken from a population of 10,000. What is the standard error of the sample mean?

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1. In a study of the life expectancy of 500 people in a certain geographic region, the mean age at death was 72 years and the standard deviation was 5.3 years. If a sample of 50 people from this region is selected, find the probability that the mean life expectancy will be less than 70 years