In his MTH173 class, Professor Fibonacci found that the mean score of the first test was 61. Suppose thatthe scores are normally distributed with a standard deviation of 5 points.What is the probability that a randomly selected score is less than 72?P(z < 72) =What is the probability that a randomly selected score is more than 81?P(r > 81) =%3Dwhat is the probability that a randomly selected score is between 72 and 81?P(72 < z < 81) -

Given X is normal Distributed with mean µ = 61.0 and standard deviation σ = 5.0 now will using…

Answered: In his MTH173 class, Professor…

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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The average score of employees on a mental examination is 120. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 30. If a random sample of 90 scores were selected and the sample mean were calculated to be 110, what is the probability that the mean of the sample is greater than 110? Show the complete solution.
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?
According to the Department of Health, Statistics Students sleep an average of 8 hours a night. Assume that ‘hours of sleep a night’ follows a normal distribution with a standard deviation of 1.5 hours. If a statistics student is selected at random what is the probability they sleep less than 6 hours a night? If a statistics student is selected at random what is the probability they sleep more than 8.5 hours a night? If a statistics student is selected at random what is the probability they sleep between than 5 hours and 9 hours a night?
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 185000 dollars. Assume the standard deviation is 36000 dollars. Suppose you take a simple random sample of 59 graduates.Find the probability that a single randomly selected salary is at most 187000 dollars. Answer = Find the probability that a sample of size n=59n=59 is randomly selected with a mean that is at most 187000 dollars. Answer = Enter your answers as numbers accurate to 4 decimal places.
Nintendo is doing a classic game competition for the anniversary of Super Mario Bros. The average runtime for a straight playthrough is 1 hour and 58 minutes (with a standard deviation of 6 minutes). Out of all of the players who compete in this competition (120 players), the fastest 10% will get a chance at a special reward. What would be the benchmark playthrough time for this competition?
A recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15. 1. What is the probability that a randomly selected individual would have an IQ between 97 and 112 2. What is the probability that a randomly selected individual would have an IQ between 100 and 113 3. What is the probability that a randomly selected individual would have an IQ of less than 112 and greater than 115
The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
The mean of small dogs is 4.1 and the standard deviation is .9, what is the probability of choosing a dog that weighs the sum of mean+ standard deviation?, wouldnt the probability be O since you cannot find a small dog exactly at one point?
Systolic blood pressure readings for females are normally distributed with a mean of 125 and a standard deviation of 10.34. If 60 females are randomly selected then find the probability that their mean systolic blood pressure is between 122 and 126. Give your answer to four decimal places.
A data from a physician office shows that only 10% of patients are taller than 6 ft. If there are 4 patients in the office,find the probability that at least one of them is taller than 6 ft. Then, find mean and standard deviation of the number of patients taller than 6ft.
What is the probability that a student has a score between 80 and 90 if the normally distributed math scores have an average of 85 and a standard deviation of 10?
The length of the western rattlesnake is normally distributed with a mean of 42 inches and a standard deviation of 2.04 inches. Let X be the length of one of these snakes selected at random. Determine the probability that the snake is longer than 45 inches. Report your answer to four decimal places (like .1567).

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