Suppose students' ages follow a right skewed distribution with a mean of 21 years old and a standard deviation of 2 years.If we select a random sample of size n= 25 students, what is the probability that the sample mean age is less than 20years?O Not enough information.O 0.30850.78920.4532

Answered: Image /qna-images/answer/7a0145f3-af68-4e16-bd21-26f88609f416.jpg

Answered: Suppose students' ages follow a right…

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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According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 67 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. Find the probability that the person is between 68 and 69.5 inches. c. The middle 40% of Martian heights lie between what two numbers? Low: inches High: inches
of 21 Page 5. Reach Distance. The overhead reach distances of adult women are normally distributed with a mean of 200 cm. and a standard deviation of 12.5 cm. (Illustrate each with a graph!) a. Find the probability that an individual distance is greater than 205 cm. Describe the random variable: Describe distribution: b. Find the probability that the mean reach distance for 25 randomly selected adult women is greater than 205 em. Describe the random variable: Is it appropriate for us to use The Central Limit Theorem? Describe the distribution: Cop
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. 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 76 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 88 mph. d. 86% of all cars travel at least how fast on the freeway? mph. Submit Question
Suppose that the speed at which cars go on the freeway is normally distributed with mean 69 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. b. If one of the cars is randomly chosen, find the probability that it is traveling between 72 and 76 mph. c. 84% of all cars travel at least how fast on the freeway? mph.
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- NO b. Find the probability that the person is between 64.4 and 67.3 inches. c. The middle 50% of Martian heights lie between what two numbers? Low: inches inches High:
3. An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb. If 110 passengers will board a flight, what is the approximate probability that the mean weight for this sample of passengers will exceed the limit if the standard deviation of the baggage weight for this group is 23 lb. ? (Round your answer to three decimal places.)
4.41 Songs on an iPod: Suppose an iPod has 3,000 songs. The histogram below shows the distribution of the lengths of these songs. We also know that, for this iPod, the mean length is 3.45 minutes and the standard deviation is 1.63 minutes. (a) Calculate the probability that a randomly selected song lasts more than 5 minutes (notice that the distribution is skewed)._______________ (please round to four decimal places)(b) You are about to go for an hour run and you make a random playlist of 15 songs. What is the probability that your playlist lasts for the entire duration of your run? Hint: If you want the playlist to last 60 minutes, what should be the minimum average length of a song? (You may assume that the conditions for using the CLT are met)The minimum average length of a song if the playlist is to last the full 60 minutes can be:_______________ minutesThe probability requested is:____________ (please round to four decimal places)(c) You are about to take a trip to visit your…
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According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. Find the probability that the person is between 64.7 and 67.5 inches. c. The middle 30% of Martian heights lie between what two numbers? Low: inches High: inches

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Suppose students' ages follow a right skewed distribution with a mean of 21 years old and a standard deviation of 2 years. If we select a random sample of size n= 25 students, what is the probability that the sample mean age is less than 20 years? O Not enough information. 00.3085 0.7892 O 0.4532