On a particular college campus, 21% of the students belong to a fraternity or sorority. If 49 college students are randomly chosen: a. What is the probability that no more than 12 are members of a fraternity or sorority? Round to at least three decimal places. b. What is the mean of this distribution? Round to at least one decimal. c. What is the standard deviation of this distribution? Round to at least one decimal.

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 42. Assume seven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ¤ - N( 111 42 b. For the group of 7, find the probability that the average number of friends is less than 96. c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+1 • The Central Limit Theorem For Sums 2 [+] Hint Submit Question

The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ~ N( b. For the group of 10, find the probability that the average price is between $161 and $167. c. Find the 95th percentile for the average textbook price for this sample size. $ (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ e. For part b), is the assumption that the distribution is normal necessary? YesO No

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- NO b. Find the probability that the person is between 64.4 and 67.3 inches. c. The middle 50% of Martian heights lie between what two numbers? Low: inches inches High:

Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.3 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that the person is between 62 and 63.9 inches. c. The middle 40% of Martian heights lie between what two numbers? Low: inches High: inches

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 420 grams and a standard deviation of 24 grams. Find the weight that corresponds to each event. a. highest 20 percent b. middle 60 percent c. highest 80 percent d. lowest 15 percent

McPhilly is conducting a study on the amount of money a customer spends on each visit to the restaurant.  The company looks at the receipts from 20 McPhilly restaurants.   The company found that the mean amount spent is $11 with a $3 standard deviation.  a. What type of sampling method was used?  b. What is the probability that a customer spend greater than $8 each visit? c. What is the probability that a customer spends less than $13 each visit? d. The customers were asked to respond to the following survey question, determine if the question is biased.  Explain why or why not? "What menu item gives you the best value?

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 59. Assume fourteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of æ? ¤ - N( b. For the group of 14, find the probability that the average number of friends is more than 94. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? Yes No Submit Question logi F2 F5 3 R. T. *CO 8 7 6

A stock can earn a return of 10%, 15%, -5%, or 0%, each with a known probability of 25%. What is the standard deviation of this stock's return? Select one: O a. .025 b. .079 c..05 d. .00625 e..0913