Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about a boy is 56%. (a) How much are we “off” by when we use the expectation to estimate the number of songs Taylor Swift will complain about a boy in (hint: )? (b) What is the probability that the number of songs Taylor Swift complains about a boy in is within 1 standard deviation of the mean (identify the interval we are interested in and then calculate the probability)? What does this imply about the shape of the distribution (hint: think Empirical Rule)?

Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about a boy is 56%. (a) How much are we “off” by when we use the expectation to estimate the number of songs Taylor Swift will complain about a boy in (hint: )? (b) What is the probability that the number of songs Taylor Swift complains about a boy in is within 1 standard deviation of the mean (identify the interval we are interested in and then calculate the probability)? What does this imply about the shape of the distribution (hint: think Empirical Rule)?

Name: Austin decided to give Taylor Swift another chance. So, he listened th
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Description: Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about

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 accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business graduates Business degrees Nonbusiness degrees Total Male 192,167 616,454 808,621 1,056,907 1,865,528 Female 173,249 883,658 Total 365,416 1,500,112
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