Let the sample space S = {4, 5, 6, 7, 8, 9, 10, 11, 12, 13,…

Let the sample space S = {4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, the event A = {5, 6, 12, 14} and the event B = {5, 7, 10, 12, 13}. (For parts a and b, separate the elements with commas and put your answers in numerical order.)   a. List the elements of A

The final exam grades of a Business Statistics class are bel…

The final exam grades of a Business Statistics class are bell-shaped with a mean of 81 and a standard deviation of 4.    a. Calculate the z-score of a student scoring an 86 on the midterm. [a] b. Approximately what percentage of students scored between a 73 and 93? [b] c. Approximately what percentage of students scored below a 77? [c]

The following is a probability distribution table. X P(X…

The following is a probability distribution table. X P(X = x) 5 0.25 10 0.29 15 [a] 20 0.14 a. Fill in the missing probability in the table, P(X = 15) b. Calculate the probability that X is less than 15. [b] c. Calculate the mean value of X. [c]

The following table gives data from 170 American adults. The…

The following table gives data from 170 American adults. They were asked if they currently own a pet and if they ever had a pet as a child. Pet currently No pet currently Pet as child 74 28 No pet as child 31 37 (Round to three decimal places as needed.)   a. Find the probability that a randomly selected adult did not have a pet as a child and has a pet currently. [a] b. Find the probability that a randomly selected adult did not have a pet as a child, given we know that they have a pet currently. [b] c. Are the events “did not have a pet as a child” and “has a pet currently” mutually exclusive? [c] (yes or no)