Assume that the time used by a baker preparing a birthday cake follows a normaldistribution with a mean of 140 minutes and a standard deviation of 40 minutes. Theprobability is 0.9 that a randomly chosen baker requires more than how manyminutes to prepare the birthday cake ?a) 88.8O b) 46c) None of the naswers are correctd) 71.6e) 111.6

Assume that the time used by a baker preparing a birthday cake follows a normal distribution with a…

Answered: Assume that the time used by a baker…

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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Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car.a. What is the distribution of X? X ~ N( ? , ? )b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. Round to 4 decumal places. ?c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 74 mph. Round to 4 decimal places. ?
The population mean time it takes to empty a bottle of liquid is 80 minutes with a standard deviation of 6 minutes. A sample of 60 bottles is taken. What is the probability that the sample mean is at most 78 minutes? A) 0.9951 B 0.9963 C) 0.0037 D) 0.0049
Last year, eight employees of an electronics company retired. Their ages of retirement are listed below, 65, 63, 59, 64, 58, 62, 61, 90 Find the standard deviation of the retirement ages a) 10.3 years b) 32 years c) 3.6 years d) 4.5 years e) none of the above
A survey was conducted to measure the number of hours adults spend sleeping each week. In the survey, the number of hours was normally distributed, with an average of 7 hours and a standard deviation of 1 hour. One adult was chosen at random. Which of the alternatives below corresponds to the probability that this participant will spend more than 10 hours a week sleeping? a) 0,9987% b) 13% c) 99,87% d) 0,13%
Q22 -)) In an exam attended by 600 people, the average of the grades is 60 and the standard deviation is 10.2, showing a normal distribution. From this population, 50 samples of n=36 people were taken to the returned lottery. How many samples are there with an average of less than 65? a) 23 B) 14 C) 19 D) 30 E) 36
Assume that X has a normal distribution, and find the indicated probability. 7) The mean is μ = 15.2 and the standard deviation is o = 0.9. Find the probability that X is between 14.3 and 16.1. A) 0.1587 B) 0.6826 C) 0.8413 D) 0.3413 7)
1. If Z is a standard normal variable, find the probability that Z lies between 0.25 and 1.67. Draw diagram for normal distribution, define the desired probability as shaded area, use Table to calculate this probability, and circle one of the multiple choice answers. P(0.25< Z < 1.67) =A) – 0.3538 B) 0.9525 C) 0.3538 D) 1.5512
The time to the nearest whole minute, that a city bus takes to go from one end of its route to the other has the probability distribution shown. Please write your answer readable. Thank you.
The average score on a communications exam was found to be 82 with a standard deviation of 5 points. Assuming these scores were normally distributed, what is the 10th percentile of these exams? a) 88.4 b) 1.28 c) 75.6 d) -1.28
It is reported that a survey had a standard error of the mean of 20, and it is assumed that the population standard deviation is 500. Using this information, determine the size of the sample that was used in this survey. a) 300 b) 200 c) 400 O d) 500 () e) None of the answers are correct
The mean hourly pay rate for financial analyst in the insurance company is $32.62, and the standard deviation is $2.32. Assume that pay rates are normally distributed. What is the probability a financial manager earns between $30 and $35 per hour? a) 0.429 b) None of the answers are correct c) 0.819 d) 0.719 e) 0.619
The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately normally distributed. For a randomly selected worker, what's the approximate probability the bolt will be inserted in 19 minutes or less? Round to the nearest whole percent. A) 16% B) 84% C) 50% D) 18%

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