Statistics HW

Name________________

HW 6 (Chapter 5)

Due 2/27/15

1. We would like to use Minitab to help us simulate a large number of repetitions of the probability experiment of rolling a die. These observations will then be used to make conclusions about the probability of the outcomes of this probability experiment.

(In Minitab, use Calc>Random Data>Integer… to simulate 12,000 “rolls” of a six sided die. Then, to help you count the rolls, go to Graph>Bar Chart… to make a frequency chart. Hover your mouse over the bars in the chart to get the totals. Copy-and-paste your frequency graph here.)

Outcome	Number of Rolls	Probability
Roll a 1

2. Identify the “method” used in #1. How will your answers for the probabilities in #1 compare to the answers of other students in our class? Will they be the exactly the same, very different, a little different, or something else?

3. Now, complete the table using the fact that each outcome for a roll is equally likely.

Outcome	Probability
Roll a 1

4. Identify the “method” used in #3 to compute the probabilities. How will your answers for the probabilities in #3 compare to the answers of other students in our class? Will they be the exactly the same, very different, a little different, or something else?

5. According to The Law of Large Numbers. How should your answers to #1 and #3 compare?

6. Let E be the event that a randomly selected person in the U.S. who is over the age of 24 has attended college.

Let F be the event that a randomly selected U.S. resident over the age of 24 is female.

P(E) = 0.559 P(F) = 0.518 P(E and F) is 0.295.

a. What is the probability that a randomly selected person in the U.S. over the age of 24 is a male?

b. What is the probability that a randomly selected person in the U.S. over the age of 24 has not attended college?

c. What is the probability that a randomly selected person in the U.S. over the age of 24 is a female or has attended college?

What part of the homework assignment did you find the most difficult to complete?

Are there any parts of the homework that still give you difficulties?