**I WILL RATE AND LEAVE FEEDBACK** **EVERYTHING IS IN THE ATTACHED PICTURES**
FUNDAMENTALS OF PROBABILITY:
0 Question 1 E 5 pts '0 1 The following table shows the breakdown of men and women accepted or denied entry into a particular college. IAcceptedITIT I Denied I 753 I 349 [mmWIT Given someone is a man, what is the probability they will be accepted? I I (Enter a decimal rounded to three decimal places.) Given someone is a woman, what is the probability they will be accepted? (Enter a decimal rounded to three decimal places.) Which if the following statements is most accurate? DA greater proportion of men are accepted than women. C] A greater proportion of women are accepted than men. CIThe proportion of men and women being accepted are about the same. Let's look at a breakdown of two different programs that the above students had applied to. Men Women I l l l W Accepted Denied Accepted Denied Program A 575 376 93 17 28 377 25 332 Total 603 753 1 18 349 W Program B WI Program A In Program A, what is the probability that someone gets accepted, given they are a man? I I (Enter a decimal rounded to three decimal places.) In Program A, what is the probability that someone gets accepted, given they are a woman? :] (Enter a decimal rounded to three decimal places.) Which of the following statements is most accurate about Program A? DThe proportion of men and women being accepted are about the same. DA greater proportion of women are accepted than men. DA greater proportion of men are accepted than women. Program B In Program B, what is the probability that someone gets accepted, given they are a man? :] (Enter a decimal rounded to three decimal places.) In Program B, what is the probability that someone gets accepted, given they are a woman? [ ] (Enter a decimal rounded to three decimal places.) Which of the following statements is most accurate about Program B? CJThe proportion of men and women being accepted are about the same. C] A greater proportion of women are accepted than men. CIA greater proportion of men are accepted than women. 0 Question 2 E 5 pts '0 1 Suppose that 10,000 people are given a drug test that is 97.6% accurate and that 500 of the people actually are drug users. Using that information, complete the following chart: I I Accurate Nonusers Users (true positive) I Total I 9760 Hint: Fill out "accurate nonusers" first by looking at what percent of the total nonusers would be accurately tested. (false negative) Looking only at positive results (accurate users and error nonusers), what is the probability of a false positive (error nonuser)? I (Round to three decimal places.) Looking only at negative results, what is the probability of a false negative? :I (round to three decimal places} Would you consider this test to be accurate or not? Explain your reasoning fully
