6. A recent college graduate is looking for a job. Assume that she has a probability = 0.1 of being hired each time that she interviews. She is going to keep interviewing until she gets a job offer, then stop. What is the probability that she gets her first job offer on the 6th interview?

7. A statistics instructor is much too fond of the computer game "Freecell" which is supplied with Microsoft Windows TM. On the average, she wins 80% of all her games. (You may assume the results of the games are independent.) Out of a random sample of 30 games, what is the probability that she wins exactly 25 games?

8. A scientist designs an instrument to detect a type of particle in cosmic radiation. On the average, 2.8 particles will strike the detector per hour. Assume that the events are random. What is the probability of 4 particles striking in a single hour?

9. A casino has a roulette wheel. The wheel has 38 numbers that can come up when the wheel is turned. There are 18 red numbers, 18 black numbers, and two green numbers. A customer bets $1 that the next number will be red. If the number is red, the customer will receive $2 (their original dollar bet plus one extra dollar). If a black or green number comes up, the customer loses their bet and gets nothing. What is the mean or expected value?

10. Assume that 5% of the population are allergic to peanuts. Out of a random sample of 15 people, what is the probability that one or more is allergic to peanuts?

11. Assume that 75% of all California cars pass smog check (population proportion p = 0.75). Out of a random sample of 18 cars, what is the probability that between 14 to 16 (inclusive) pass smog check?