1. Statistical Literacy, the following variables are: continuous or discrete?

a. the speed of a plane

b. the age of a random college professor

c. the number of books at Pace's library

d. the weight of one of Pace's football team

e. the number of lightning strikes on bear mountain in a given day.

2. Statistical Literacy, A senior college has classes start on top of the hour, with the earliest time being 7:00am and the last class starting at 10:00pm. By policy, each class duration is 55 minutes. The following represent the class start time preferences of a random sample of juniors. Is this variable discrete or continuous? Justify your answer clearly and precisely; use at least two distinct arguments.

Starting time. 7:00-8:00am. 9:00-11am. 12:00-3:00pm. 4:00-5:00pm. 5:00-10:00pm

Response %. 7. 15. 35. 53 15

3. Statistical Literacy, Consider two discrete probability distributions with the same sample space and the same expected value. Do their standard deviation have to be the same? Please explain clearly and precisely.

4. Basic Computation, Expected value, For a fund raiser, 1000 raffle tickets are sold and he winner is chosen randomly. There is a single $500 cash price. You bought one ticket

a. What is the probability you will win?

b. Your expected earning can be found by multiplying the value of the price by the probability you will win the price. What are your expected earnings?

c. Interpretation, if a ticket costs $2, what is the difference between your 'cost' and 'expected earnings"? How much are you effectively contributing to the fund raising? What do we mean by 'effectively?

5. Calculate the expected value and standard deviation of the Nursing Home example above