The number of typographical errors per page of a certain newspaper has a Poisson distribution, and there is an average of 2.2 errors per page.(a) What is the probability that a randomly selected page is error free?(b) What is the probability that a page has either one or two errors?(c) What is the probability that a page has at least two errors?(a) The probability that a randomly selected page is error free is(Round to four decimal places as needed.)(b) The probability that a page has either one or two errors is(Round to four decimal places as needed.)(c) The probability that a page has at least two errors is(Round to four decimal places as needed.)

The following information has been given: Let X be a random variable that represents the number of…

Answered: The number of typographical errors per…

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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#17
Two chips are drawn at random from a bowl containing 2 white and 3 red chips. Let ?=X=the number of red chips drawn. (a) Write down the probability distribution for ?X. (b) What is the expected value of ?X? (c) Compute the standard deviation of ?X.
I. Boston Children’s Hospital estimates that 90% of Americans have had chickenpoxby the time they reach adulthood.32(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distributionappropriate for calculating the probability that exactly 97 out of 100 randomly sampled Americanadults had chickenpox during childhood? Explain.(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpoxduring childhood.(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not hadchickenpox in their childhood?(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not hadchickenpox?
In a national survey college students were asked, "How often do you wear a seat belt when riding in a car driven by someone else?" The response frequencies appear in the table to the right. (a) Construct a probability model for seat-belt use by a passenger. (b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else? Response Frequency Never 112 323 Rarely Sometimes 523 Most of the time 1165 Always 2627 (a) Complete the table below. Response Probability Never (Round to the nearest thousandth as needed.)
17. Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older) was asked, "When you see an ad emphasizing that a product is 'Made in America,' are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group are presented in the following contingency table 18-34 35-44 45-54 55+ More likely 238 329 360 402 1329 Less likely 22 22 16 66 282 Neither more 201 164 118 765 nor less likely Total 542 536 546 536 2160 Source: The Harris Poll
If the probability of a machine producing a defective part is 0.01, what is the probability of finding exactly 1 defective part from a sample of 10? (Assume that the process follows a binomial distribution)

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