Suppose that the heights of children in kindergarten can be described by a Normal model withmean 38.2 inches and standard deviation1.8 inches.a. What is the likelihood that a randomly selected kindergartener is shorter than 36inches?b. What is the likelihood that a randomly selected kindergartener is taller than 40 inches?c. What is the probability that a kindergartener is between 35 and 39 inches tall?

Answered: Image /qna-images/answer/95bfde30-fa18-49c0-a6cc-d5766d09c929.jpg

Answered: Suppose that the heights of children 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 annual per capita consumption of bottled water was 30.5 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.5 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 36 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? Instructor tip - X a. The probability that someone consumed more than 36 gallons of bottled water is 0.3361 (Round to four decimal places as needed.) b. The probability that someone consumed between 30 and 40 gallons of bottled water is 0.2829 (Round to four decimal places as needed.) Use Excel functions or the normal probability applet: https://davidmlane.com/hyperstat/z_table.html c. The probability that someone consumed less…
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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.
The household income in a particular town can be represented by a normal distribution with a mean of £50,000, and a standard deviation of £10,000. i. What is the probability that a particular household has an income level of more than £55,000? ii. What is the probability that a particular household has an income that is less than £35,000?
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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?

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