The 9th hole at Segreganset Country Club is a par 4 hole measuring 440 yards. Over the course of a 4 hour span, 50 golfers played this

The 9^th hole at Segreganset Country Club is a par 4 hole measuring 440 yards.  Over the course of a 4 hour span, 50 golfers played this hole.  The following table represents X = the score a player received on the hole.  Answer the following questions based on the table:

X        Frequency

1             0

2             0

3             4

4             12

5              20

6               10

7                4

8               0

1. Find the probability [ P(X) ] of each outcome for the data.
2. Create a probability histogram for the data.
3. What is the probability that you chose 1 of the 50 golfers at random and they received a score of 7?
4. What is the probability that you chose 1 of the 50 golfers at random and they received a score no more than 6?
5. What score would you EXPECT 1 of the 50 golfers to answer if you asked them what score they received?
6. Find the standard deviation.  Round your mean answer from question 4 to the nearest WHOLE number.  After calculating, round your answer for the standard deviation to 2 decimal places.
7. Based on your mean and standard deviation, find unusual values.  Does the table support your conclusions?

According to a study, 45% of Americans get their license before they are 18 years old.  Suppose we randomly ask 20 individuals over the age of 18 if they got their license before they were 18 years old.  Let  X = the number of individuals who got their license before their 18th birthday.

1. Create a probability table from the data.  You can simply copy the information from the table in the textbook.
2. What is the probability that EXACTLY 11 of the 20 got their license before their 18th birthday?
3. What is the probability that between 6 and 10 of the individuals asked got their license before their 18th birthday?
4. What is the probability that at least 5 of the individuals asked got their license before their 18th birthday?
5. How many of the 20 individuals asked can you EXPECT to have gotten their license before their 18th birthday?
6. Does your answer to Question 5 make sense based on the Graph in Question 4?  Why?
7. What is the Standard Deviation?
8. What number of individuals out of the 20 would you consider to be UNUSUAL based on the problem?