7)$40,000, with a standard deviation of $2000. Assuming that the distribution of income is(approximately) normal, what is the probability that a worker picked at random will havethe annual income between $39,000 and $42,000 ?The mean annual income of a worker in a certain professional category is

The random variable annual income follows normal distribution. We have to find the probability that…

Answered: | The mean annual income of a worker in…

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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The weekly earnings of shift supervisors in the glass industry follow a normal probability distribution with a mean of $1,000 and a standard deviation of $100. What is the z value of income X of a supervisor who earns $1,100 per week? What about a supervisor who makes $900 a week?
The average yearly salary for an electrician is $51853. Suppose that the distribution is normal with a standard deviation equal to $4850. What is the probability that a random sample of 35 electricians had a mean income greater than $50123? Less than $49730? Assume that the sample is taken from a large population and the correction factor can be ignored. Express each probability as a percent rounded to two decimal places. Income greater than $50123: ____%Income less than $49730: _____%
The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Assume domestic airfares are normally distributed with a standard deviation of $110.(1) What is the probability that a domestic airfare is $550 or more? 2) What is the probability that a domestic airfare is $250 or less?3) What is the probability that a domestic airfare is between $300 and $500? 0.6325(4) What is the cost for the 3% highest domestic airfares?
c. Vehicle speeds at a highway location have a normal distribution with mean u = 65 mph and standard deviation o = 5 mph. Find the probability that a randomly selected vehicle speed is greater than 73 mph.
. Patients at the outpatient surgical center in Braintree, MA have an average recovery time of 14 days with a standard deviation of 3 Assuming these raw scores form a normal distribution What is the probability of getting a raw score between 13 and 15?
According to the bureau of labor statistics the average weekly pay for a U.S production worker was $441.Assume that available data indicate that production worker wages were normally disturbed with a standard deviation of $90 a.What is the probability that a worker earned between $400 and $500 per week? b.How much did a production worker have to earn per week to be in the top 20% of wages earners? c.For a randomly selected production,what is the probability the worker earned less than $250 per week?
The length of the long-distance calls made by the employees of a certain company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.5 minutes. Find the probability that a call will last between 5 and 10 minutes. A. .3897 B. .1788. C. .6290. D. .6308
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a newspaper article, the mean of the x distribution is about $32 and the estimated standard deviation is about $6. What is the probability that x is between $30 and $34? (Round your answer to four decimal places.) Let us assume that x has a distribution that is approximately normal. What is the probability that x is between $30 and $34? (Round your answer to four decimal places.)
Title A random sample of 36 observations has been drawn from a normal distribution... Description </o:p> A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<></53.>
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30000 and $60000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was 17226. Assume that the standard deviation is 2011. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within 182 of the population mean for each of the following sample sizes: 30, 50,100, and 400? Round your answers to four decimals. b.A larger sample (increases)the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within 182(+-) of u ranges from (____)for a sample of size to (____)for a sample of size 400.
One year consumers spent an average of $22 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $3.Complete parts (a) through (c) below. a. What is the probability that a randomly selected person spent more than $24?
a) Attendance at large exhibition shows in Denver averages about 8000 people per day, with standard deviation of about 475. Assume that the daily attendance figures follow a normal distribution. (Round your answers to four decimal places.) What is the probability that the daily attendance will be fewer than 7200 people? What is the probability that the daily attendance will be more than 8900 people? What is the probability that the daily attendance will be between 7200 and 8900 people? b) Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 56 minutes. Assume that the arrival times follow a normal distribution. At what time after the doors open will 92% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.) ____minutes after…

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