3) In a recent semester at a local university, 530 students enrolled in both General Chemistry and Calculus I. Of these students, 53 received an A in general chemistry, 83 received an A in calculus, and 25 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student received an A in general chemistry or calculus. 4} A lot of 1000 components contains 200 that are defective. Two components are drawn at random and tested. Let A be the event that the rst component drawn is defective, and let 3 be the event that the second component drawn is defective. Find PM and B). 5) Show calculations and cancellations by hand: How many different ways can a teacher select 6 students from a class of19 students to a. each perform a different classroom task? b. all perform the same task? 6) In a company there are 10 executives: 6 women and 4 men. 4 are selected to attend a management seminar. Find the probability that 3 men and 1 woman will be selected. Winter 2023 Math 150 Assignment 3 Name: Show work when necessary. Each problem is worth the same amount. 1) A survey asked respondents to indicate their level of satisfaction with government spending. The results are show below. Response Number Very satisfied 930 Somewhat satisfied 3621 Dissatisfied 7395 Total 11,946 Assume this is a simple random sample from a population. Use the Empirical Method to estimate the probability that a person is very satisfied with government's spending? 2) Out of 944 items checked out of a public library, 385 were fiction books, 299 were non-fiction books, and 260 were videos (of any genre). What is the probability that a randomly-selected item was not a video? Use the complement of the event to compute. 3) In a recent semester at a local university, 530 students enrolled in both General Chemistry and Calculus I. Of these students, 53 received an A in general chemistry, 83 received an A in calculus, and 25 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student received an A in general chemistry or calculus. 4) A lot of 1000 components contains 200 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Find P(A and B). 5) Show calculations and cancellations by hand: How many different ways can a teacher select 6 students from a class of 19 students to a. each perform a different classroom task