Question 2

2. (20 pts.) Use the data in the accompanying table to answer the following questions. Express the probability as a decimal with four digits after the decimal point. Show your work! Guilty Plea of Not Plea Guilty Sentenced to 431 84 Prison Not Sentenced 789 72 to Prison a) If one of the 1376 subjects is randomly selected, find the probability of selecting someone who entered a plea of guilty. b) Find the probability of being sentenced to prison, given that the subject entered a plea of not guilty. c) Find the probability of being not sentenced to prison, given that the subject entered a plea of guilty. d) After comparing the results of questions b and c, what do you conclude of wisdom of entering a guilty plea? e) If 1 of the subjects is randomly selected, find the probability of selecting someone who was not sentenced to prison or entered a plea of not guilty. () If 2 different subjects are randomly selected without replacement, find the probability that they both were sentenced to prison. g) If 2 different subjects are randomly selected without replacement, find the probability that they both entered pleas of not guilty. h) If 1 of the subjects is randomly selected, find the probability of selecting someone who entered a plea of guilty or was sentenced to prison. i) If 1 of the subjects is randomly selected, find the probability of selecting someone who was sentenced to prison and entered a plea of not guilty. j) If 1 of the subjects is randomly selected, find the probability of selecting someone who was not sentenced to prison and did not entered a plea of guilty. Chapter 5: 1. (15pts.) The data set provided in the Excel file (Chapter 5.1) is a sample from the data collected in May 2021 and describes the type of the user - customer or subscriber in the Bluebikes system. Use this data set to answer the following questions: a) What is the size of the sample? What is the number of subscribers in the sample? What is the number of the non-subscribed customers? b) Based on the numbers in part a, calculate the probability of selecting a subscriber if one user is randomly selected. P(subscriber)=