The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normalwith mean 266 days and standard deviation 16 days. Use the 68-95-99.7 rule to answer the questions.How short are the shortest 16% of all pregnancies?(Give your answer as an exact number.)

Suppose the random variable x defines the length of human pregnancies from conception to…

Answered: The length of human pregnancies from…

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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In the 1992 presidential election, Alaska's 40 election districts averaged 1824 votes per district for President Clinton. The standard deviation was 573. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. What is the distribution of X? X ~ N(,)b. Is 1824 a population mean or a sample mean? c. Find the probability that a randomly selected district had fewer than 1872 votes for President Clinton. d. Find the probability that a randomly selected district had between 1842 and 2091 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.
The sample mean amount of savings is $
XYZ office supplies company leases copier machines to businesses. Leases are normally distributed with a mean of 24 months and variance of 36. a. What is the minimum lease period below which the bottom 10% lie? b.What is the minimum lease period of lease for the top 1% ?
821,857,782,930,720,821,794,876,810,840 Find the sample mean and the sample standard deviation
7. Find the z-score that cuts off a left tail whose area is 2.5%. 8. Find the z-score that cuts off a right tail whose area is 10.75%.
A uniform distribution has endpoints of 3 and 12. A. Determine the probability that a randomly selected value is either less than 4 or greater than 9. Report answer to 3 decimal places. B. Determine the value of the 70th percentile. Report answer to 1 decimal place.
D) How to determine the maximum number of cloudy days that would be considered usual for June?
A survey was conducted to determine the amount of time, on average, during a given week SCAD students spend outside of class on class work (projects, homework, and studying). The data shows: 5, 7, 11, 14, 18, 22 (in hours). Calculate the standard deviation by using the appropriate formula. Round your answer to three decimal places.
The IRS claims it takes an average of 3.7 hours to complete a 1040 tax form. Assume the time t the form is normally distributed with a standard deviation of 15 minutes or 0.25 hours. complete Use the Cumulative Z-Score Table to answer the following questions. Write your answer as a percent using 2 decimal places. What percent of people would you expect to complete the form in less than 3.45 hours? What percent of people would you expect to complete the form-in more than 3.45 hours? What percent of people would you expect to complete the form in less than 3.4 hours? What percent of people would you expect to complete the form in more than 3.4 hours? What percent of people would you expect to complete the form between 3.4 and 3.45 hours?
81. According to a recent Pew Research poll, 75% of millennials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millennials you ask until you find a person without a profile on a social networking site. a. Describe the distribution of X. b. Find the (i) mean and (ii) standard deviation of X. c. What is the probability that you must ask ten people to find one person without a social networking site? d. What is the probability that you must ask 20 people to find one person without a social networking site? e. What is the probability that you must ask at most five people?
Losses follow an exponential distribution with mean 5000. An insurance policy covers losses subject to a franchise deductible of 2000. Determine the expected insurance payment per loss.
12.50, 17.30, 15.20, 14.10. Determine the point estimate of the population mean.

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