The heights of 10-year-old girls follow a normal distribution with a mean of 54 inches and a standard deviation of 3 inches. (Use a table or technology. Round your answers to four decimal places.)USE SALT(a) What is the probability that a 10-year-old girl is shorter than 51 inches tall?(b) What is the probability that a 10-year-old girl is taller than 59 inches?(c) What is the probability that a 10-year-old girl is between 47 and 60 inches tall?Need Help?Read It4

Let X=The heights of 10-year-old girls The random variable X follows a normal distribution. Mean…

Answered: The heights of 10-year-old girls follow…

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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Salaries for teachers in a particular elementary school district are normally distributed with a mean of $45,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.)
e Chec S The annual per capita consumption of bottled water was 33.7 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 33.7 and a standard deviation of 12 gallons. a. What is the probability that someone consumed more than 39 gallons of bottled water? Sets an b. What is the probability that someone consumed between 25 and 35 gallons of bottled water? c. What is the probability that someone consumed less than 25 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? ook *** a. The probability that someone consumed more than 39 gallons of bottled water is (Round to four decimal places as needed.) b. The probability that someone consumed between 25 and 35 gallons of bottled water is (Round to four decimal places as needed.) c. The probability that someone consumed less than 25 gallons of bottled water is (Round to four decimal places as needed.) gallons of bottled water. d.…
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.
You are looking at taking two professors for a course. The first professor has an average grade of 85% with a standard deviation of 2%. The second professor has an average grade of 50% with a standard deviation of 15%. What is the probability you pass the second professor's class? 0.91 0.09
In a popular painkiller medicine, it is advertised there is 500 mg of the active ingredient per pill. The amount of active ingredient per pill follows a normal distribution with a mean of 504 mg and a standard deviation of 2 mg. What is the probability that a single pill of the painkiller contains less than 500 mg of active ingredient? (Use a table or technology. Round your answer to four decimal places.)
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?
Please answer b and c.
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

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