Problem # 4. In a sample of 150 residents, each person was asked if he or she favored the concept of having a single countrywide police agency. The residence (city or outside the city) and the responses of the residents are summarized in the following table. Hint this problem is similar to the example 4 on page 160 of the textbook. Residence Favor (F) Oppose (A) 80 40 10 If one of these residents is selected at random, a) What is the probability that the person will favor the concept given that the person selected is a city resident? Show all your steps. (2.5 points) b) What is the probability that the person will favor the concept given that the person selected is a resident from outside the city? Show all your steps. (2.5 points) 0) What is the probability that the person will favor the concept or the person selected is a city resident? Show all your steps. (2.5 points) (1) What is the probability that the person will favor the concept, or the person selected is a resident from outside the city? Show all your steps. (2.5 points) 15.) Andrea is reading The Catcher in the Rye. She reads three pages every night. If the horizontal axis represents the nights, n after the first day she began reading the book, and the vertical axis represents the number of pages she has left to read, which graph models this situation? B A Pages Left in Catcher in the Rye 100 Pages Left in Catcher in the 90 Rye 150 Pages Remaining 100 - Pages Left in 50 Catcher in the Rye Pages Left 20 40 60 80 5 10 15 Number of Days C Pages Left in Catcher in the Rye 250 200 150 Pages Remaining 100 50 O 0 20 40 60 80 Number of Days (a) Graph A (b) Graph B (c) Graph C (d) Cannot be represented with a linear model13.) Simplify completely: V14a6b3 . v6a5b (a) V78allb2 (b) 21a5b* v2a (c) 2a5b2 v21a (d) 2alb* V21a 14.) A student takes out a student loan in her first year of college. The loan earns simple interest each month at a rate of 8.75%. Since she is still a student, she does not yet have to repay her loans but the interest accrues on the account. The graph depicting this situation is shown below. Which statement is correct based on the graph? Amount to pay back 50000 40000 30000 Amount owed (in $) 20000 10000 5 10 15 Months since loan (a) The student loan is now $35,000. (b) The student borrowed money for 12 months. (c) The student borrowed $20,000. (d) The student will owe $30,000 when she begins paying back her loans.Problem # 5. The number of calories in a 1.5ounce chocolate bar is 225. Suppose that the distribution of calories is normally distributed with the standard deviation 0 : 10. a) What is the probability that a randomly selected chocolate bar will have between 200 and 220 calories? Show all your steps. (5 points) Hint use the formula given on page 237 from the textbook for z-score and then use the z-table. b) What is the probability that a randomly selected chocolate bar will have less than 190 calories? Show all your steps. (5 points) Hint use the formula given on page 237 from the textbook for z-score and then use the z-table. Problem # 6. Dr. Mendoza developed a test to measure boredom tolerance. The test results for the group of 20,000 adults are shown in the following table. Determine if the table satises a probability distribution (2 points). If yes, nd the mean (2 points), variance (3 points), and standard deviation (3 points)? Show all your steps. Hint use the formula given on page 195 and example 6 on page 195 of the textbook. X P00 (X 02 (X , .02 *P(X) 0 0.07 - 1 0.13 - 2 0.18 3 0.30 4 0.22 5 0.10