1. A slot machine at a hotel casino is programmed so that there is a 0.21 probability of winning the jackpot on any individual trial. If a guest plays the slot machine 10 times, find the probability of exactly 6 jackpots.

Don't forget to identify the values of n, x, p, and q before computing. If your rate is given as a percent, remember to write it as a decimal first. Use the binomial probability formula and write your answer as a decimal rounded to four places.

2. A multiple choice test has 19 questions each of which has 6 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 7 questions correctly?

Don't forget to identify the values of n, x, p, and q before computing. This one is a little trickier. To figure out p, you'll need to think about what the probability would be for correctly guessing on a single question that has 6 possible answers. Use the binomial probability formula and write your answer as a decimal rounded to four places.

3. The number of strikeouts in a game by a softball pitcher has a Poisson distribution with a mean of = 8.6. Find the probability that in a randomly selected game, the number of strikeouts is x = 4.

Use the Poisson Distribution to find the indicated probability. Write your answer as a decimal rounded to four places.

4. A crewmate on an airship completes tasks every morning in March. The number of tasks completed has a Poisson distribution with a mean of = 5.8. Find the probability that on a randomly selected morning, the number of tasks completed is x = 18.

Use the Poisson Distribution to find the indicated probability. Write your answer as a decimal rounded to four places.