2. Replacement times for CD players are normally distributed with a mean of 7.1 years and a standarddeviation of 1.4 years (data from Consumer Reports). What is the probability that a randomly-selected CDplayer will have to be replaced in 8 years or less?Z-Score: Standard Normal Tablez .01 .23.4.5.6.7.8.9-3 00130010.0007.0005000300020002„0001.0001.0000+-2 02280179.0139.01070082.006200470035.00260019-1.1587.1357.115109680808.066805480446.0359.0287-0500046024207382134463085274324202119.18410 5000539857936179.6554.69157257758078818159184138643884990329192933294529554964197132 9772982198619893.99189938995399659974998139987999099939995999799989998999999991.0000MIT

Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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BMI in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2. A BMI between 25 and 30 is considered overweight. What proportion of children are overweight? A BMI of 30 or more is considered obese. What proportion of children are obese? In a random sample of 10 children, what is the probability that their mean BMI exceeds 25?
Speeds of cars in an expressway are monitored by high-speed camera units. The minimum speed of cars in the expressway is 60 kph and the maximum speed is 100 kph. Cars going below the minimum, or going above the maximum, are apprehended. Suppose that speed of the cars on the expressway are normally distributed with a mean of 75kph and a standard deviation of 10 kph. What percentage of the cars travelling on the expressway will not be apprehended? Note: Write your answer as percentage with two decimal places (i.e. 87.26%).
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 64 applications are randomly selected, what is the probability that the mean credit rating of these 64 applicants will be between 205 and 275. (Round your answer to 4 decimal places.) (Calculator: http://statisticshelper.com/normal-distribution-calculator) A. 0.5011 B. 0.4113 C. 0.2119 D. 0.3664
SAT math scores are normally distributed with mean (524) and a standard deviation (95). If 1800 SAT math scores are randomly selected, about how many would be expected to be greater than 545?
The patient recovery time from a particular surgical procedure is normally distributed with mean of 5.5 days and a standard deviation of 1.7 days. What is probability of spending morethan4 days in recovery?
Entrance exam scores at Cititon University are normally distributed with a mean of 552 and a standard deviation of 29. If scholarships are awarded to the top 10% of scores, what is the minimum score needed to guarantee a scholarship?
Infant birth weights are normally distributed with a mean of 8 pounds and a standard deviation of 0.8 pounds. What is the probability of infants will weigh between 8.8 and 9.6 pounds
College students average 8.2 hours of sleep per night with a standard deviation of 45 minutes. If the amount of sleep is normally distributed, what proportion of college students sleep for more than 9 hours? Probability = %3D
College students average 7.1 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normally distributed, what proportion of college students sleep for more than 8.1 hours? Probability =
Patient recovery time from a surgical procedure is normally distributed with a mean of 4.5 daysand a standard deviation of 1.5 days. What is the probability of spending more than two days inrecovery?
The life span of a machine in a factory is normally distributed with a mean of 10.2 years and a standard deviation of 1.7 years. What is the probability that a randomly selected machine will last between 11 and 13 years.
a mathematics assessment test has a mean score of 100 points with a standard deviation of 10 points. what does a person have to be in the top 2.5% of people who have completed the exam? (Assume a normal distribution).

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2. Replacement times for CD players are normally distributed with a mean of 7.1 years and a standard deviation of 1.4 years (data from Consumer Reports). What is the probability that a randomly-selected CD player will have to be replaced in 8 years or less? Z-score: