a) 0.0985b) 0.8815c) 0.9015d) 0.7613Find the indicated probability.Assume that the salaries of elementary school teachers in the United States are normally distributedwith a mean of $32,000 and a standard deviation of $3000. If 100 teachers are randomly selected, findthe probability that their mean salary is greater than $32,500.24.a) 0.1312b) 0.0475c) 0.9525d) 0.3312Find the indicated probability.. 25.The average number of pounds of red meat a person consumes eachear is 196

Answered: Image /qna-images/answer/69bf74bf-87d4-4b80-bd55-0727273d1636.jpg

Answered: a) 0.0985 b) 0.8815 c) 0.9015 d) 0.7613…

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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Consider a population of 800 values that are normally distributed with a mean of 80 and standard deviation of 5. What proportion of values are larger than 74? a) 0.0750 b) 0.1151 c) 0.8849 d) 0.9250
35) The mean score of a college entrance test is 500, the standard deviation is 75. The score normally distributed. What percent of the students scored below 320? A) 50.82% B) 34.13% C) 7.86% D) 0.82%
The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 33%, then the baby is premature. Find the length that separates premature babies from those who are not premature. a.) The probability that a pregnancy will last 309 days or longer is....? b.) Babies who are born on or before ____days are considered premature.
Given that we have a normal distribution with mean 73 and standard deviation of 13 for an English class's performance. What is the probability of getting a score of 86 or better? A) 0.1587 B) 0.8413 C) 0.3413 D) 0.0013
An Olympic archer is able to hit the bull's-eye 82% of the time. Assume each shot is independent of the others. She shoots 7 arrows. a) How many bull's-eyes do you expect her to get? b) What is the standard deviation? c) If she keeps shooting arrows until she hits the bull's-eye, how long do you expect it will take? ... a) The expected number of bull's-eyes is (Round to two decimal places as needed.) b) The standard deviation is (Round to two decimal places as needed.) c) The expected number of shots is (Round to two decimal places as needed.)
Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6. a) b) c)
Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. a.) What is the probability that a woman has a pulse rate higher than 73.2 beats per minute? b.) What pulse rate would separate the lowest 65% of women from the top 35%? c.) What is the probability that a group of 15 women has a mean pulse rate between 74.1 and 83.5 beats per minute? d.) Even though the sample size is less than thirty in part (c) of this question, why can the Central Limit Theorem still be applied? e.) If you were a doctor who is selecting pulse rates as cutoff values for determining whether further tests are needed for patients, which result is more relevant to use, part (a) or part (c)? Why?
c. Vehicle speeds at a highway location have a normal distribution with mean u = 65 mph and standard deviation o = 5 mph. Find the probability that a randomly selected vehicle speed is greater than 73 mph.
Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.
The height of all 3-year-old females is approximately normal with a mean of 38.72 inches and a standard deviation of 3.17 inches. What is the probability that in a sample of ten 3-year-old females, the mean height is greater than 40 inches? A) 0.3432 B) 0.8992 C) 0.2422 D) 0.5066 E) 0.1008
According to AAA, the price of a gallon of regular, unleaded gas across gas stations in Ohio is normally distributed with a mean of $2.39 and a standard deviation of $0.15. If you randomly pick a gas station, what is the probability the price is exactly $2.46 per gallon? A) 0.14 B) 0 C) 1 D) 0.68
Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).

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