5. A norm al distribution has a mean of 26 and a standard deviation of 4. What is theprobability that a particular x will fall within the following intervals?Draw a complete sketch of the corresponding normal curve to represent each ofthe following:a) P( x< 25)23 -2-11 2 3b) P(x> 24):321.3. c) P( 26 < x< 30)23 -2 -1 0 12

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Answered: 5. A norm al distribution has a mean of…

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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Americans receive an average of 18 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 5. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 18 b. If an American is randomly chosen, find the probability that this American will receive no more than 20 Christmas cards this year. 券

3. 4. Find the area under the shaded region. The graph depicts the standard normal distribution with mean 0 and standard devlation 1. - 2.36 00.0091 0.9909 O 0.5 01 Continue 2021 McGraw-Hill Education. All Rights Resen SAMSUNG 21
Los Angeles workers have an average commute of 30 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 13 minutes. Let X represent the commute time for a randomly selected LA worker. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected LA worker has a commute that is longer than 27 minutes. Round to 4 decimal places. c. Find the 70th percentile for the commute time of LA workers. Round to 2 decimal places. minutes
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When asked: "What is the distribution of X ? X ~ N(___,___)." This notation is referring to N, a normal distribution, with the mean given in the first space and the standard deviation in the second space. Remember that the standard deviation of the sample means is different from the population standard deviation. The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation 7 mm. Suppose that 11 individuals are randomly chosen. Round final answers to 4 decimal places. a. What is the distribution of x? x N( b. For the group of 11, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? Yes No
D, e, f and h
A sample of 100 clients of an exercise facility was selected. Let X = the number of days per week that a randomly selected client uses the exercise facility. X Frequency 0 3 1 14 2 31 3 29 4 10 5 8 6 5 Find the number that is 1.5 standard deviations BELOW the mean. (Round your answer to three decimal places.)
A. Find the probability that x is between six and 12. (Round your answer to four decimal places.) X ~ N(9, 2) B. Find the maximum of x in the bottom quartile. (Round your answer to four decimal places.) X ~ N(8, 9) C. The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a standard deviation of 2 minutes. Sixty percent of the time, it takes more than how many minutes to find a parking space? (Round your answer to two decimal places.) min
The average cost per household of owning a brand new car is $5,500. Suppose that we randomly selected 45 households, determine the probability that the sample mean for these 45 households is between $5,250 and 6,000. Assume that the variable is normally distributed and the standard deviation is $1,550. SD of the sample mean (input 4 decimal places)= type your answer... type your answer... z-scores (input 2 decimal places) type your answer... Final answer/Probability (input 2 decimal places type your answer... %
Los Angeles workers have an average commute of 31 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 14 minutes. Let X represent the commute time for a randomly selected LA worker.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected LA worker has a commute that is longer than 35 minutes. Round to 4 decimal places. c. Find the 75th percentile for the commute time of LA workers. Round to 2 decimal places. minutes
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5. A norm al distribution has a mean of 26 and a standard deviation ốf 4. What Is the probability that a particular x will fall within the following intervals? Draw a complete sketch of the corresponding normal curve to represent each of the following: a) P( x< 25) 23 -1 1 2 3 b) P(x> 24) 33