Soc 210 | Assignment 4 | 10 pointsFor full credit, you MUST show work on each problem. I have included both a PDF and MS Word version of this assignment on Canvas. Your submission must be uploaded as a single document.1. The 2018 General Social Survey (a nationally representative survey of adults in the United States) asked 1136 respondents whether they believed Heaven existed and whether they believed Hell existed. Here were the results, presented in a 2x2 contingency table (also known as a crosstab):Believe in HellNo Yes TotalBelieve in HeavenNo 209 10 219Yes 113 804 917Total 322 814 1136Based on this table, answer the following questions:a. Show that the probability that a randomly selected American adult believes in Hell is 0.72.b. Show that the probability that a randomly selected American adult believes in Hell if they believe in Heaven (i.e., conditional on believing in Heaven) is 0.88.c. What is the probability that a randomly selected American adult believes in BOTH Heaven and Hell?(more on back)2. CSU is (hypothetically) planning that during one of its basketball games (in post-pandemic times) they will have an event where a random fan at halftime will try to throw a frisbee into a trash can from across the court for a new car worth $30,000. Most of these special halftime events are insured. The insurance company thinks the fan will have a 4% chance of successfully throwing the frisbee into the trash can. The insurance business model means that needs to charge CSU more than the expected value of the event. What is the expected value of this event? 3. Suppose you are interested in applying for two jobs.JOB A: 30 applicants (including you) have applied, and you feel you are allequally likely to get the job. This job pays $20/hr.JOB B: 20 applicants (including you) have applied, and again you feel you are all equally likely to get the job. This job initially pays only pays $18/hr.a. Show that the expect value (in terms of your hourly pay rate) of applying for JOB A is $.67/hr.b. What is the expected value for JOB B?c. By an unfortunate act of fate, the interviews for the job are on the same day but in different cities, so you can only interview at one. Which job should you interview for, if you wanted to choose the one with a greater expected