Answered: The random variable X has the following…

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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Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 4 Probability 0.264 0.290 0.240 0.148 0.042 0.016 ..... (a) Find the mean, variance, and standard deviation of the probability distribution.
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The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. Hurricanes 123450.00.10.20.30.40.5CategoryProbability0.4070.2870.2260.0680.012 A histogram titled Hurricanes has a horizontal axis labeled Category from 1 to 5 in increments of 1 and a vertical axis labeled Probability from 0 to 0.5 in increments of 0.05. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the category is listed first and the height is listed second: 1, 0.407; 2, 0.287; 3, 0.226; 4, 0.068; 5, 0.012. Each bar is labeled with its height. (a) The mean is nothing. (Type an integer or a decimal. Do not…
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.260 0.290 0.234 0.161 0.037 0.018 (a) Find the mean, variance, and standard deviation of the probability distribution.
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Repair Cost for Microwave Ovens The average repair cost of a microwave oven is $55, with a standard deviation of $8. The costs are normally distributed. Find the probability that the mean of the repair bills will be greater than $70.

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The random variable X has the following probability distribution. Calculate the mean, variance, standard deviation, and expected value.