10:34 AM Fri Feb 10 . . . 59% 5 + : 0 Statistics Unit 6 Exam Review Formulas Expected Value (Mean) . MX = Exi . Pi Variance . 03 = Epi(xi -MX)- Standard Deviation . Ox = VVariance X ~ Binomial(n, p) . P(X = k) = binompdf (n, p, k) . P(X Tesswma 9 +2. Statistics Unit 6 Exam Review 9. 10. The probability the Tim will make a foul shot is 75%. Tim attempts 25 foul shots. 7015 a. What is the probability that he makes at lest 15 shots? Pix: 453: i'bfngnglami 5,453 $0.)? '1: 540 b. What is the probability that he makes at most 10 shots? a. What is the mean and standard deviation? Satchel randomly draws 5 cards form a standard deck, with replacement Let X represent the number of times that Satchel draws a face card. a. What is the probability that Satchel draws a face card 3 times? b. What is the probability that Satchel draws a face card more than 2 times? c. What is the probability that Satchel draws a card at least 2 times? \\b d. What is the mean and standard deviation? 10:34 AM Fri Feb 10 . . . 59% 5 + : 0 Statistics Unit 6 Exam Review 7. Fifty tickets are sold for a movie at the cost of $5 each. Some tickets have cash prizes as a part of promotional campaign. One prize of $ 100, three prizes of $ 50, and five prizes of $10. The table below shows the probability distribution of X = Net win/loss for a single ticket purchase. P(X = x) a. What is the expected value of X? What is standard deviation of X? 8. A $20 bill, two $10 bills, four $5 bills and five $1 bills are placed in a bag. If a bill is chosen at random, what is the expected value for the amount chosen? a. Complete the probability distribution table for X = bill amount. P (X = x) b. Using the table from part a, what is the expected value of X? > c. Using the table from part a, what is the standard deviation of X? V