J17. A normai distribution has a mean of so and a standard deviation0fイ.thea.compule pro babiluty OFa value belween 49.0 andss.0b.compute the proboability of aualue greater than S5 0C. compute the probability oF a value beiwen szo and ss 0

Given: Population mean = 50 Population standard deviation = 9 X ~N (50, 92)

Answered: 7.A normai distributi on 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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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?
5. The lengths of Atlantic croaker fish are normally distributed, with a mean of 10 inches and a standard deviation of 2 inches. An Atlantic croaker is randomly selected. Find the probability that the length of the fish is a. Less than 7 inches b. Between 7 and 15 inches C. More than 15 inches DELL
17).
Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 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 75 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 87 mph. Round to 4 decimal places.
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. ?
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.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 10 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 79 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 83 and 86 mph. Round to 4 decimal places.
Suppose that the mean and standard deviation of plants height are 130 and 32, respectively, if a random sample of size 49 is slected from these plants, then the probability that their average height is more than 125 is closest to: O a. 0.20 O b.0.86 Oc. 0.26 O d. 0.14 O e. 0.74 Next page
45. Suppöse the average height of NBA players is normally distributed with mean 200cm and standard deviation 8.89cm. What is the probabilíty that a randomly selected players will have a height between 190cm and 210cm? M= 200 a. 0.7288 b. 0.7372 8=8.89 C. 0.1314 d. 0.7698 e. 0.8686
Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and standard deviation 5 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 74 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 79 and 85 mph. Round to 4 decimal places.
4. The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 25 minutes and a standard deviation of 3 minutes. Find the probability that the time between taking the medication and getting relief is as follows. a. At least 30 minutes b. At most 20 minutes 5. All incoming freshmen at a major university are given a mathematics diagnosti exam. The scores are normally distributed with a mean of 120 and a standa deviation of 25. If a student scores less than a certain score, he or she will have undergo an intervention program. Find the cutoff score at which 64% of the stude would have to undergo the intervention program. 2021.04.10 09:47
21. Assume a binomial probability distribution has = 0.60 and n = 200 a. What is the mean and standard deviation? b. Is this a situation in which binomial probabilities can be approximated by the normal probability distribution? Explain. c. What is the probability of 100 to 110 successes? d. What is the probability of 130 or more successes? e. What is the advantage of using the normal probability distribution to approximate the binomial probabilities? Use part (d) to explain the advantage.

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7.A normai distributi on has a mean Of So and a standard deviation Of a. a. compule probabiluty OF a value beiween 44.0 ands5.0 the b. compute the probability of a value areater than s5.0 C. compute the probability OF a valu e beiwen szo and sS.0