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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Similar questions

Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6. a) b) c)
Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.6 million visitors per day and a standard deviation of 880,000 visitors per day. What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.
A waiterbelieves the distribution of his tips has a model that is slightly skewed to the left, with a mean of $8.60 and a standard deviation of $4.20. He usually waits on about 50 parties over a weekend of work. a) Estimate the probability that he will earn at least $450. b) How much does he earn on the best 5% of such weekends?
Customers at a popular restaurant spend on average $32.30 per person. Assume that the amount spent follows approximately a normal distribution with a standard deviation of $5.25. What is the probability that a randomly selected customer will spend more than $40.00? • Below what cost do the 20% of customers paying the least spend?
D. The mean annual cost to attend a attend a college is $44,324. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,590. Ninety percent of all students pay less than what amount?
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 average income tax refund for the 2017 tax year was $1997. Assume the refund per person follows the normal probability distribution with a standard deviation of $943. Use this model to answer the following questions. Don’t use Excel formulas – use the tables. Show the standardization and other calculations. a) For a randomly selected return, what the is probability that the refund exceeds $2500 ? b) For a randomly selected return, what the is probability that the refund is between $2000 and $3000? c) What is the 3rd quartile of the refund amount? d) The 20th percentile?
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

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