4. A sales firm receives, on average, 3 calls per hour on its toll-free number. For anygiven hour, find the probability that it will receive the following using the Poissontable.(a) At most 3 calls(b) At least 3 calls

Solution-: Given : λ=3 We find, (a) P[At most 3 calls]=? (b) P[At least 3 calls]=?

Answered: A sales firm receives, on average, 3…

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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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.…

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A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour, find the probability that it will receive the following using the Poisson table. (a) At most 3 calls (b) At least 3 calls