1. Frosted Flakes Will Place 5 Superstar S Pictures in Their Cereal. One of the Superstars

1. Frosted Flakes will place 5 superstar’s pictures in their cereal. One of the superstars is Babe Ruth. Conduct a simulation to determine the average number of boxes necessary to purchase in order to get a box containing Babe Ruth’s picture. (Use 6 trials)

68953 19654 09303 23209 02560 15953 34764

35080 33606 99019 02529 09376 70715 38311

31165 39765 88676 74397 04436 27659 12807

99970 80157 36147 64032 36653 98951 16877

2. About 30% of the worker’s at a company wear glasses. What is the probability that in a sample of 5 workers there is exactly 1 who wears glasses. Design a simulation to find this – use 5 trials.

39885 11199 29170 31060 10805 45571 82406

35303 42614 86799 07439 23403 09732 85269

3. About 78% of the students wear jeans on any given day. What is the probability that in a sample of 8 students there is at least 6 students who are wearing jeans? Design a simulation to find this – use 5 trials.

77602 02051 65692 68665 74818 73053 85247

18623 88579 63573 32135 05325 47048 90553

35080 33606 99019 02529 09376 70715 38311

31165 39765 88676 74397 04436 27659 12807 4. Sophie, Ms. Coley’s favorite dog, loves to play catch. Unfortunately, she (Sophi, not Mrs. Coley) is not particularly adept at catching as her probability of catching the ball is 0.15. Mrs. Coley is interested in determining how many tosses it will take for Sophie to catch the ball once. Can this situation be described as binomial, geometric, or neither? Design a simulation of this, using 5 trials, to find the number of tosses it will take for Sophie to catch the ball one time.

48747 76595 32588 38392 84422 80016 37890

71950 22494 00369 61269 87073 73694 97751

17857 52352 21392 58249 80993 52010 88856

23882 73613 57648 47051 63016 74572 22684

02409 37565 52457 01257 40615 63910 03413

77576 74872 57431 29251 77848 98037 81230

5. Mr. Wylder, avid baseball player & coach, decides to train Sophie. After three-a-day training sessions for 4 weeks, the probability that Sophie catches the ball has increased to 0.35. Mr. Wylder is interested in determining the number of times Sophie will catch the ball in 25 tosses. Can this situation be described as binomial, geometric, or neither? Design a simulation to answer Mr. Wylder’s question using 5 trials.