28. According to data released by the Chamber of Commerce of a certain city, theweekly wages (in dollars) of female factory workers are normally distributedwith a mean of $575 and a standard deviation of $50. Find the probability thata female factory worker selected at random from the city makes a weeklywage of $550 to $650.

Given dataMean (µ) = 575Standard Deviation (σ) = 50Probability that a female worker selected at…

Answered: 28. According to data released by the…

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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The average weekly unemployment benefit in Idaho is $272. Suppose that the benefits are normally distributed with a standard deviation of $43. Find the probability that the average weekly u employment benefit of a random sample of 15 benefits chosen in Idaho is less than U.S. average, which is $299.
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
When Freshman 15 The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their freshman year at college. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 2.6 lb and a standard deviation of 10.8 1b (based on Data Set 13 "Freshman 15"). Find the probability that a randomly selected male college student gains 15 lb or more during his freshman year. What does the result suggest about the claim of the "Freshman 15"?
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 122000 dollars. Assume the standard deviation is 41000 dollars. Suppose you take a simple random sample of 97 graduates.Find the probability that a single randomly selected salary that doesn't exceed 126000 dollars.Answer = Find the probability that a sample of size n=97n=97 is randomly selected with a mean that that doesn't exceed 126000 dollars.Answer = Enter your answers as numbers accurate to 4 decimal places.
The mean cost of domestic airfares in the United States rose to an all-time high of $380 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $115. Use Table 1 in Appendix B. 1. What is the probability that a domestic airfare is $535 or more (to 4 decimals)? 2.What is the cost for the 3% highest domestic airfares? (rounded to nearest dollar)
A farmer was interested in determining how many grasshoppers were in his field. He knows that the distribution of grasshoppers may not be normally distributed in his field due to growing conditions. As he drives his tractor down each row he counts how many grasshoppers he sees flying away. After several rows he figures the mean number of flights to be 57 with a standard deviation of 12. What is the probability of the farmer will count 60 or more flights on average in the next 40 rows down which he drives his tractor? Round to four decimal places. OA. 0.4429 OB. 0.0569 OC. 0.9429 OD. 0.5710
The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $115. Use Table 1 in Appendix B. a. What is the probability that a domestic airfare is $545 or more (to 4 decimals)? 0.0821 b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)? 0.1037 c. What if the probability that a domestic airfare is between $320 and $510 (to 4 decimals)?
Most graduate of Senior High Schools are taking up Batangas State University College Entrance Exam. Scores on the entrance exam are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 500 on the entrance exam? how high must an individual score on the entrance exam in order to score in the highest 5%?
According to a study of TV viewing habits, the average number of hours an American over the age of 2 watches TV per week is 44. The population standard deviation is 16 hours. If a sample of 64 Americans over the age of 2 are randomly selected, what is the standard error of the mean?
According to San Jose Mercury News, children in China average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1 hours and the amount of time spent alone is normally distributed. We randomly survey one Chinese child living in a rural area. 1. Find the probability that the child spends more than 5 hour per day unsupervised. 2. What percent of the children spend less than 2 hours per day unsupervised? We randomly survey 100 Chinese children living in a rural area. 1. What is the chance that the average of unsupervised hour for these 100 children is less than 2.9? 2. What is the chance that the sample average of unsupervised hour for these 100 children is between 2.8 and 3.2 hours?
The daily number of bad checks received by a large department store in a random sample of 5 days out of the past year was 67, 76, 72, 84, and 76. Find the Standard deviation.
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?

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