a survey of 100 online shoppers at a certain popular web store reveals the following probability distribution of the number of items purchased per visit. assume p(x) represents the true pdf and is valid x= 0, 1, 2, 3, 4, 5, 6, 7 f(x)= 0.41 .12 .16 .15 .05 .06 .03 .02 calculate the expected number of items purchased per visit find the probability that

a survey of 100 online shoppers at a certain popular web store reveals the following probability distribution of the number of items purchased per visit. assume p(x) represents the true pdf and is valid x= 0, 1, 2, 3, 4, 5, 6, 7 f(x)= 0.41 .12 .16 .15 .05 .06 .03 .02 calculate the expected number of items purchased per visit find the probability that

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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Suppose that 0.7% of male professional golfers use steroids, and that Max is a male professional golfer who has been randomly selected to take a drug test. The test he has been asked to take has a false positive rate of 1% and a false negative rate of 10%. Use Bayes’ rule to calculate the probability that Max actually uses steroids if he tests positive for steroid use. Give your answer as a decimal precise to three decimal places.
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Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…