5. The test results of the entrance examination in CITE Technical Institute are normally distributed with amean of 65 and a standard deviation of 12.a. What probability can one expect that the results would be above 80?b. What probability can one expect that the results would be belbw65?c. What probability can one expect that the results would be between 60 and 85?

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Answered: 5. The test results of the entrance…

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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Answer D
Can you please answer parts c and d of the attached question. Thank you.
A. Solve the following. Show your complete solution. 1. Say that you will have to wait for a bus. Assume that the amount of waiting time is normally distributed between 0 and 15 minutes. Suppose that the mean time of a person is 8 minutes and the standard deviation is 1.8. What is the probability that you will wait for less than 12.5 minutes? 2. The length of time between charges of the battery of laptops is normally distributed with a mean of 45 hours and a standard deviation of 12 hours. Fiel owns one of these laptops and wants to know the probability that the length of time will be between 50 and 70 hours. 3. The length of life of an ordinary flashlight produced by a company has a normal distribution with a mean of 36 months and a standard deviation of 5 months. Find the probability that the flashlight produced by the company will last (a) more than 18 months, (b) between 17 and 32 months.
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
Guess that the people reside in a city have a mean score of 50 and a standard deviation of 7 on a measure of concern about the environment. Assume that these scores are normally distributed. 1. If a person is randomly selected from that city then what is the probability that he or she has a score below 25? b. If a person is randomly selected from that city then what is the probability that he or she has a score above 52? c. If a person is randomly selected from that city then what is the probability that his/her score is between 30 and 40?
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
4. The average salary for first-year teachers is $27,989. Assume the distribution is approximately normal with standard deviation $3250. a. What is the probability that a randomly selected first-year teacher makes between $20,000 and $30,000 each year? b. What is the probability that a randomly selected first-year teacher has a salary less than $20,000?
6. Assume that adults have IQ scores that are normally distributed with a mean of 98.4 and a standard deviation of 15.5. Find the probability that a randomly selected adult has an IQ greater than 119.5. Round to 4 decimal places.
1. The test scores of an Engineering Mechanics class with 800 students are distributed normally with a mean of 75 and a standard deviation of 7. a. What percentage of the class has a test score between 68 and 82? b. Approximately how many students have a test score between 61 and 89? c. What is the probability that a student chosen at a random has a test score between 54 and 75? d. Approximately how many students have a test score greater than or equal 96
Q1. A. The number of orders that come into the sales office of ABC LTD each month is normally distributed with a mean of 600 and a standard deviation of 100. Approximately less than how many orders does the sales office receive such that the probability is 0.6 B. The number of orders that come into the sales office of DEF LTD each month is normally distributed with a mean of 500. Suppose the probability that the sales office receives more than 692 orders is approximately 0.1. Please calculate the standard deviation of the distribution of the orders. C. The number of orders that come into the sales office of XYZ LTD each month is normally distributed with a standard deviation of 200. Suppose the probability that the sales office receives less than 794 orders is approximately 0.15. Please calculate the mean of the distribution of the orders.
Assume that in a given year the mean mathematics SAT score was 495, and the standard deviation 111. A sample of 61 score is chosen. ANSWER ALL QUESTIONS PLEASE SHOW WORK A.What is the probability that same mean score is less than 484? B. The probability that the sample mean score is between 460 and 500 is? C. The 10th percentile of the sample mean is D. Would it be unusual if the sample mean were greater than 520? And what is the probability? E. Do you think it would be unusual for an individual to get a score greater than 520? What is the probability
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?

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