54. Outline as an algorithm (paragraph form) or in diagram form a randomized experimental design for this study. 55. Use the random digit table starting at line 125 to carry out the randomization required by your design and report the result. Joey is interested in investigating so-called hot streaks in foul shooting among basketball players. He’s a fan of Carla, who has been making approximately 80% of her free throws. Specifically Joey wants to use simulation methods to determine Carla’s longest run of baskets on average, for 20 consecutive free throws. 56. Describe a correspondence between random digits from a table of random digits and outcomes. 57. What will constitute one repetition in this simulation? 58. Starting with line 101 in the random digit table, carry out 10 repetitions and record the longest run for each repetition. 59. What is the mean run length for the 10 repetitions? Semester 1 Review 9
Chapter 6 Suppose you toss a coin and roll a die. 60. Use a principle you’ve learned to determine how many outcomes there are. 61. List the outcomes in the sample space. 62. Find the probability of getting a head and an even number. 63. Find the probability of getting 1 head. 64. Find the probability of getting a 1, 2, or 3 on the die. 65. Suppose a person was having two surgeries performed at the same time. If the chances of success for surgery A are 85%, and the chances of success for surgery B are 90%, what are the chances that both will fail? 66. Suppose that you have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infection occurs in 3% of such operations, the repair fails in 14%, and both infection and failure occur together in 1%. What percent of these operations succeed and are free from infection? 67. Parking for students at Central High School is very limited, and those who arrive late have to park illegally and take their chances at getting a ticket. Joey has determined that the probability that he has to park illegally and that he gets a parking ticket is .07. He has kept data from last year and found that because of his perpetual tardiness, the probability that he will have to park illegally is .25. Suppose that he arrived late once again this morning and had to park in a no- parking zone. Find the probability that Joey will get a parking ticket. 68. Two cards are dealt. one after the other, from a shuffled 52- card deck. Why is it wrong to say that the probability of getting two red cards is (1/2)(1/2) = 1/4? What is the correct probability of this event? Semester 1 Review 10
Chapter 7 The probabilities that a customer selects 1, 2, 3, 4, or 5 items at a convenience store are 0.32, 0.12, 0.23, 0.18, and 0.15, respectively. 69. Construct a probability distribution (table) for the data, and draw a probability distribution histogram. 70. Find P(X > 3.5). 71. Find P(1.0 < X < 3.0). 72. Find P(X < 5). A certain probability density function is made up of two straight line segments. The first segment begins at the origin and goes to the point (1, 1). The second segment goes from (1, 1) to the point (X, 1).
- Fall '11