9. The average diameter of sand dollars on a certain island is 4.00 centimeters with a standard deviation of 0.70 centimeters. If 25 sand dollars are chosen at random for a collection, find the probability that the average diameter of those sand dollars is more than 3.87 centimeters. Assume that the variable is normally distributed. 0.684 0.760 A) B) C) 0.316 D) 0.816 4.00 cm 8-0.70 p(more than 3.87) A) X 25 Chosin atranden. 10. Use the normal approximation to the binomial to find that probability for the specific value of X. n = 20, p = 0.3, X = 5 A) 0.17 B 0.25 C) 0.08 D) 0.3 (A) 11. Of the members of a Boy Scout troop, 15% have received the first aid merit badge. If 40 boy scouts are selected at random, find the probability that four or more will have the first aid merit badge? A) 86.6% B) 81.3% C36.6% D) 31.3% .15 40 B) p/4 or more will have the first aid merit badge) X 12. If a baseball player's batting average is 0.340 (i.e., the probability of getting a hit each time at bat is 0.340), find the probability that the player will have a bad season and get at most 60 hits in 200 times at bat? A) 38.3% B) 11.7% C) 36.9% D) 13.1% 0.340 P(At most 60 hits in X Kimes)