For Problems 1 - 4: The table at right shows the x P(x)

probability of the number of adults who say 0 0.30

they would feel comfortable in a self-driving 1 0.40

vehicle among 3 randomly selected adults. 2 0.20

3 0.10

1. What is the probabilitythat 2 or more adults are comfortable in a self-driving vehicle?

2. What is the mean number(to nearest 0.1) of adults who are comfortable in a self-driving vehicle? [Show all of your work.]

3. (10 pts) What is the standard deviation(to nearest 0.1) of adults who are comfortable in a self-driving vehicle? [Show all of your work with a table.]

4. What is the maximum usual numberof adults who say they would feel comfortable in a self-driving vehicle among 3 randomly selected adults? Would 3 adults who say they are comfortable in a self-driving vehicle among 3 randomly selected adults be considered significantly high?[Note that within two standard deviations of the mean is considered usual or non-significant.]

For Problems 5 - 7: Assume M&Ms are randomly selected and grouped into bags of 36 each and that 25% of all M&Ms are yellow. [Hint: Could this be a Binomial Distribution?]

5. What is the average number (to nearest 0.1) of yellow M&Ms per bag of 36?

6. What is the standard deviation(to nearest 0.1) of the number of yellow M&Ms per bag?

7. What is the probability (to nearest 0.0001) of finding exactly 9 yellow M&Ms in any one bag?

8. For any standard normal distribution, find the areato the right of z = -0.95.