Question 1:A manufacturer receives a shipment of 275 laptop computers of which 24 are defective. Totest the shipment, the quality control engineer randomly, without replacement selects 8computers from the shipment and tests them. The random variable X represents thenumber of non-defective computers in the sample.a) Which probability distribution is applicable for this scenario? Explain why.b) Write the parameter values for the applicable probability distribution.c) What are the mean and standard deviation of the random variable X?d) What is the probability that all selected computer will not have defects?e) Now, let's Y represent the number of defective computers in the sample. What arethe all possible values that Y can take?What are the mean and standard deviation of the random variable Y?What is the probability that at there are at most three defective computers in thesample?f)g)

Given: 24 out of 275 laptop computers are defective. 8 computers are randomly selected. Let X…

Answered: Question 1: A manufacturer receives a…

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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In a recent twenty-year period 190 hurricanes struck the United States. a) Find the probability that there will be more than eight hurricanes next year. b) State the type of distribution, mean, and standard deviation.
A mechanical assembly used in an automobile engine contains four major components. The weights of the components are independent and normally distributed with the following means and standard deviations (in ounces). Component Mean St.Dev. Left case 3 0.2 Right case Bearing assembly Bolt assembly 5 0.5 8 0.1 0.5 We consider the total weight of the assembly. (a) What is the probability that the weight of an assembly exceeds 24 ounces? (b) What is the probability that the mean weight of eight independent assemblies exceeds 24 ounces?
1.) Why does a large value of the F statistics provide evidence against the null hypothesis? 2.) An urn contains 20 colored golf balls: 8 white, 6 red, 4 blue, and 2 yellow. A child is allowed to draw balls until he gets a yellow one. The number of draws required is recorded. Determine what distribution the probability experiment represents and why?
3. Calculate the mean, variance, and standard deviation of a binomial probability distribution, using the data: n = 9, x = 6, q = 0.75. a) Average b) Variance c) Standard Deviation
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Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages be accurate. Suppose that a random sample of n = 12 frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations, along with a boxplot and normal probability plot.
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A survey was conducted to measure the height of Canadian men. In the survey, respondents were grouped by age. In the 20-29 age group, the height was normally distributed, with a mean of 69.2 inches and a standard deviation of 2.9 inches. A study participant is randomly selected. a) Find the probability that his height is less than 66 inches. b) Find the probability that his height is between 66 and 72 inches. c) Find the probability that his height is more than 72 inches. d) Find P10 , the 10th percentile please show all steps using excel formulas

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