1. Generate 900 samples of size 400 random numbers from Beta distribution with shapeparameters a = 0.6, ß = 0.4. For each of these 900 samples calculate the mean.a) Find the simulated probability that the mean is between 0.58 and 0.60.b) Find the mean of the means.c) Find the standard deviation of the means.d) Draw the histogram of the means.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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5.- Television sets for manufacturer A have a mean life of 2.8 years with a standard deviation of 0.4 years. On the other hand, manufacturer B offers television sets that have a mean life of 3.0 years with a standard deviation of 0.6 years. What is the probability that a sample of 22 television sets from manufacturer B will have at least 0.5 years excess life than a sample of 37 television sets from manufacturer A? Provide an interpretation on your result.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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times for a surgical procedure are normally distributed. there are two methods. method a has a mean of 29 minutes and a standard deviation of 5 minutes, while method b has a mean of 33 minutes and a standard deviation of 25 minutes. which procedure is preferred if the procedure must be completed within 37 minutes. method a, b, or either method
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Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a standard deviation of 16 hours. Suppose you sample 30 bulbs and calculate a sample average (Y) burn life. Find the probability that a give bulb in the sample has a burn life greater than 163 hours.
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