Name: Chapter 4 Test - Part 2 Free Response The probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000. 9 (1pt each) (a) Explain what this probability means. (b) If 10000 people play the Pick 4 lottery, will exactly 1 person win the lottery? Explain. (c) The winning number in a Pick 4 lottery was 1234 two days in a row. What is the likelihood of this number occurring on the next drawing? Explain. 2. A human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is 0.95. (1pt for a &b) (a) If we take a random sample of 3 employees, what's the probability that all of them arrive on time? (b) If we take a random sample of 3 employees, what's the probability that none of them arrive on time? (c) If we take a random sample of 3 employees, what's the probability that at least one of them arrives on time? (2pts) 3. A large bakery has many different products for sale. Suppose that 200 customers come in between 6 am and 10 am. Of the 200 customers, 140 order donuts, 100 order cinnamon rolls, and 80 order both. Suppose a customer is randomly selected: (a) Make a Venn Diagram to model the situation. (3 pts) (b) Find P(no donuts and no cinnamon rolls). (1 pt) (d) If we know a person orders donuts, what is the probability that they order cinnamon rolls? (1 pt)