Binomial distribution. According with the Sidney Morning Herald, 35% of bicycles stolen in Holland are recovered. a) Find the probability that, in a sample of “1a” randomly selected cases of bicycles stolen in Holland, exactly 4 out of “1a” bikes are recovered. a= 1

Binomial distribution. According with the Sidney Morning Herald, 35% of bicycles stolen in Holland are recovered. a) Find the probability that, in a sample of “1a” randomly selected cases of bicycles stolen in Holland, exactly 4 out of “1a” bikes are recovered. a= 1

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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A recent survey reported that 57% of 18- to 29-year-olds in a certain country own tablets. Using the binomial distribution, complete parts (a) through (e) below. a. What is the probability that in the next six 18- to 29-year-olds surveyed, four will own a tablet? b. What is the probability that in the next six 18- to 29-year-olds surveyed, all six will own a tablet? c. What is the probability that in the next six 18- to 29-year-olds surveyed, at least four will own a tablet? d. What are the mean and standard deviation of the number of 18- to 29-year-olds who will own a tablet in a survey of six? e. What assumption(s) do you need to make in (a) through (c)?
A study by a reputable research organization found that when presented with prints from the same individual, a fingerprint expert will correctly identify the match 91% of the time. In contrast, a novice will correctly identify the match 77% of the time. Consider a sample of seven different pairs of fingerprints, where each pair is a match. Complete parts a and b below. a. What is the probability that an expert will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.) b. What is the probability that a novice will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.)
c. What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 81? What is the probability that it would take on average over 12 hours for the 81 taxpayers to finish their form 1040? Would you find this unusual? O yes no d. What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 100? What is the probability that it would take on average over 12 hours for the 100 taxpayers to finish their form 1040? Would you find this unusual? no O yes e. What is the z-score/how many standard deviations away is 12 hours for one tax-payer? What is the probability that it would take one person over 12 hours to finish their form 1040? Would you find this unusual? yes
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 34 77 Male 54 68 75 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will have Super Strength?
The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…
According to a recent study, 3 in every 8 women has been a victim of domestic abuse. This probability was obtained from a survey of 1,000 adult women. Suppose we randomly sample 25 women and find that 7 have been abused. Complete parts a through c below. G a. What is the probability of observing 7 or more abused women in a sample of 25 if the proportion p of women who are victims of domestic abuse is really p= ㅎ? The probability of observing 7 or more abused women in a sample of 25 is (Round to four decimal places as needed.)
1. In a factory that produces pieces of ready-made concrete, if the percentage of production of defective blocks is 0.6, if we draw a sample of 5 pieces: find the probability of getting 3 defective pieces. *