Answered: (i) Let X, the number of flaws on the…

(i) Let X, the number of flaws on the surface of a randomly selected pump of a certain type, have a Poisson distribution with mean 6. a) Compute P(X ≤ 8) b) Compute P(5

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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36) The time X needed to complete a final examination in a particular College Course is normally distributed with a mean of 60 minutes and standard deviatation of 10 minutes. The Probability of completing The exam in less than 70 minutes. is A) 0.9655. B)0, 1387 C) 0.8413 D) 0.0345
23. A variable is described at N(5,9). This indicates normal distribution, with Mean= 5 and Variance = 9. b) a) What are the corresponding Z values for X values of 2 & 5? What is the probability that X is less than 2? What is the probability that X is less than 5? c) C: What is the probability that X is between 2 and 5? e) What is the probability that Z < -1.24? d)
The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.2380.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size ?=500n=500 of young adults ages 20–39 in the United States. Apply the central limit theorem to find the probability that the number of individuals, ?,X, in Lance's sample who regularly skip breakfast is greater than 126126. You may find table of critical values helpful. Express the result as a decimal precise to three places. Then, Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 9898. Express the result as a decimal precise to three places.
If a point randomly located in an interval (a,b) and if y denotes the location of the point, then y is assumed to have a uniform distribution over (a,b). A plant efficiency expert randomly selects a location along 500-ft assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is a). within 25 feet of the end of the line? b.) within 25 feet of the beginning line? c.) closer to the beginning of the line than to the end of the line?
Use this information about the overhead reach distances of adult females: µ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are normally distributed (based on data from th Federal Aviation Administration) If 40 adult females are randomly selected, find the probability that they have a mean overhead reach between 204.0 cm and 206.0 cm.
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of 36 and a standard deviation of 10. Suppose that one individual is chosen at random. Find the following (round to 4 decimal places) a) Find the probability that the percent of fat calories a person consumes is more than 40. b) Find the probability that the percent of fat calories a person consumes is less than 35. c) Find the maximum number for the lower quartile of percent of fat calories. d) The middle 70% of the percent of fat calories are from 4 to
Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b) If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c) If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb
According to a recent poll, 27% of Americans get 30 minutes of exercise at least five days each week. Let's assume this is the parameter value for the population. You take a simple random sample of 25 Americans and let p(hat) equal the proportion in the sample who get 30 minutes of exercise at least five days per week. Does the sampling distribution pass the Normal condition? 1) Yes because n >= 30 2) No, because n < 30 3) Cannot be determined 4) No, because np < 10 5) Yes, because n (1-p) >= 10
Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per minute and a standard deviation of σ=12.5 beats per minute. a) If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 76 beats per minute.
The production of AN Screws states that the mean length for AN screws is 3.2 cn. Also, it is kuown that the probability of a randomly selected AN sCrew would measure more than 3.8 cm is p and the probability that a randomly selected AN screw wonld measure less than 2.8 cm is q. Suppose that the production of AN screws is tommally distributed, then the probability that a randomly selected AN screw will mcusure between 2.6 cm and 3.6 cm is Hint: Draw the curve of the Normal distribution and use its symmetry 1-2p O 1-p-q 1-p+q O 1-29
Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer. Suppose that X has a gamma distribution with mean value 37.5 ms and standard deviation 21.3. Round all answers to 4 decimal places and 3 = b) What is the probability that data transfer time exceeds 49 ms? a) What are the values of a = ? c) What is the probability that the data transfer time is between 49 and 67 ms?
The length, X, of a lionfish is a normally distributed random variable with a mean of 13.5 inches and a standard deviation of 2.4 inches. Suppose that we measure the lengths of 150 randomly chosen lionfish. Let M be the sample mean of the 150-length measurements. Let S be the sum of the 150 length measurements.a) What is the probability that X < 9.3? b) What is the probability that X > 9.3? c) What is the probability that all of the 150 measurements are greater than 9.3? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that S-150*13.5 >10? g) What is the standard deviation of S-150*13.5 h) What is the expected value of M? i) What is the standard deviation of M? j) What is the probability that M >13.6? k) What is the standard deviation of 30*M? l) If the probability of X > k is equal to .8, then what is k?