2. Palatsamba repairs pumps for farmers. The number of days it takes to fix thepumps and the probability that it will take that number of days are reflected in thetableNumber of daysProbabilities (%)124.9210.89.112.313.346.11.47874.69.101.91.311120.8130.60.4140.20.21516170.1180.1a. State the random variableb. Draw a histogram of the number of days to fix defectsc. Find the mean number of days to fix defectsd. Find the variance for the number of days to fix defectse. Find the standard deviation for the number of days to fix defectsf. Find the probability that a pump will take at least 16 days to fix a pumpg. Is it unusual for the pump to take 16 days for fix?Determining if an event is unusualIf you are looking at a value of x for a discrete variable, and the P(the variablehas a value of x or more) < 0.05, then you can consider the x an unusually highvalue. Another way to think of this is if the probability of getting such a high vauleis less than 0.05, then the event of getting the vaue x in unusual.

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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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The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top ten stocks of the "Dogs of the Dow" list for 2015, based on their performance the preceding year. If you selected two of these stocks at random, what is the probability that both the stocks in your selection had yields of 3.75% or more?
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