The National Earthquake Information Center (NEIC) locates roughlybetween 12000 and 14000 earthquakes each year.Based on this, assume that the number of earthquakes each year isnormally distributed with a mean of 13000 and a standard deviationof 250.a) What is the probability that between 12740 and 13160 earthquakes are located in a year?b) What is the probability of a year having more than 13160 earthquakes in a year?c) What is the probability that less than 12790 earthquakes are identified?

The question is about normal distribution Given : Popl. mean no. of earthquakes ( μ ) = 13000 Popl.…

Answered: The National Earthquake Information…

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 mean cholesterol levels of women age 45-59 in Ghana, Nigeria, and Seychelles is 5.1 mmol/l and the standard deviation is 1.0 mmol/l. AsSume that cholesterol levels are normally distributed and a random sample of 21 women are selected. It is possible with rounding for a probability to be 0.0000.
Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70 inches and a standard deviation of 0.75 inches. Suppose a random sample of 49 men is selected. Find the probability that the average height of these 49 men is less than 69.8 inches.
A study indicates that 18 to 24-year olds spend a mean of 135 minutes watching video on their smartphones per month. Assume that the amount of time watching video on a smartphone per month is normally distributed and that the standard deviation is 10 minutes. What is the probability that an 18- to 24-year-old spends less than 130 minutes watching video on his or her smartphone per month? (please show me how you got the answer)
In average, a student reads 29 pages from a textbook each month. Assume astandard deviation is 3 pages. Find the probability of reading(a) between 27 and 31 pages each month(b) more than 30.2 pages per month.
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?
A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 milliliters. What is the probability that a cup contains between 194 and 219 milliliters?
on the distant planet Cowabunga the weight of cows have a normal distribution with a mean of 554 pounds in a standard deviation of 35 pounds. The cow transport truck holds 11 cows and can hold a maximum weight of 6523. If 11 cows are randomly selected from the very large herd to go on the truck what is the probability that their total weight will be over the maximum allowed of 6523?
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…
A company records the mean time in years that used passenger cars and used pick-up trucks were kept before being sold by the owner. The mean time for used car is 5.6 years with a standard deviation of 1.5 years. For pick-up trucks, the mean time is 6.8 years with a standard deviation of 2.2 years. What is the probability that the mean time that 100 pick-up trucks were kept exceeds the mean time that 64 used cars were kept by at least 1.8 years?
A technician can service an air conditioner in an average of one hour and fifteen minutes with a standard deviation of 20 minutes. (Assume the time is normally distributed). What is the probability that the technician can fix ten air conditioners in less than twelve hours?

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