4. An organization for people with high IQ and eligibility requires an IQ above 131.5. Supposethe IQ scores are normally distributed with a mean of 102.5 and standard deviation of 16.1. Ifsomeone wants to join the organization, what is the probability that he or she meets theorganization's requirement?

Answered: Image /qna-images/answer/1b22e5c3-5495-4747-b219-ef13840a1d45.jpg

Answered: 4. An organization for people with high…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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42. An automobile battery manufacturer claims their batteries have an average life of 5 years with a standard deviation of 1.3 years. Assuming battery life is normally distributed, what is the probability a random sample of 25 batteries has an average life between 4.7 and 5.5 years? 0.1515 0.8485 0.7590 0.2410
9. The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15days. a. In a letter to an advice column, a wife claimed to have given birth 307 days after a brief visit from her husband, who was working in another country. Find the probability of a pregnancy lasting 307 days or longer. What does the result suggest? b. If the length of pregnancy is in the lowest 4%, then the baby is premature. Find the length that separates premature babies from those who are not considered premature.
Student loan debt is the only form of consumer debt that has grown since the peak of consumer debt in 2008. The average student loan of somebody younger than 30 is
10. Bags of grain in a warehouse have a mean weight of 60 pounds with a standard deviation of 4 pounds. a. In random samples of 36 bags, what is the probability the total weight of the bags is less than 2100 lb? b. In random samples of 36 bags, what is the 80th percentile for the total weight of the 36 bags?
4. Suppose the incubation period for land turtle eggs is normally distributed with a mean of sixty- seven days and standard deviation 7.4 days. a. Find the probability that a land turtle egg will take at least eighty days to hatch. b. Find the probability that a land turtle egg will take at most fifty-five days to hatch. c. Find the probability that a land turtle egg will take between fifty and eighty-five days to hatch. d. Find the length of time such that 85% of the land turtle eggs will have hatched by then. e. Suppose a veterinarian becomes concerned about the health of the land turtle if it takes longer than ninety days to hatch. What is the probability of this happening if the turtle is healthy? Is it likely for this to happen? f. Find and interpret the 90th percentile.
12. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 an d a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating between 200 and 275. Show work.
2. The number of pages in a PDF document you create has is randomly distributed between 5 and 9 pages, where all values are equally likely. What are the mean and standard deviation of the number of pages in the document2
2. Suppose a store has a filling machine that fills 12 ounce bottles of juice. It is known that the amount of juice poured by this filling machine follows a normal distribution with a mean of 12.18 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains more than 12.23 ounces of juice.
7. Furnace repair bills are normally distributed with a mean of 267 dollars and a standard deviation of 20 dollars. If 74 of these repair bills are randomly selected, find the probability that they have a mean cost between 267 dollars and 269 dollars.
Please show working outs.
8. Calculate the probability that the price lies within 1.5 standard deviations of the mean.
Letter i only please. The last one

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