. Four coins are tossed 150 times with X being the results given in the table below. Find the empirical probabilities (in percentage form) of each value of X.

# of heads

0

1

2

3

4

frequency

9

39

51

44

7

Answer:

X = x_i

0

1

2

3

4

P( X = x_i)

2. What is the expected value for #1? Show your work.

Answer:

Show your work below:

3. A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 200 spins you get 50 blue, 56 red, 48, green, and 46 yellow outcomes, find the empirical probabilities (in percentage form) of each value of X.

Blue

Red

Green

Yellow

Frequency

50

56

48

46

Probability

4. Which of the colors has the same empirical probability as the theoretical probability?

Answer:

5. A golf course kept up with the scores of 114 golfers on hole 6, which was a par three hole. The results of 114 scores was as follows: 1 scored 1, 24 golfers scored 2, 62 scored 3, 16 scored 4, and 11 scored 5. Construct a table for this data.

Score

Frequency

6. Find the probability distribution for #5.

X = x_i

P(X = x_i)

7. Find the expected value for #5. Show your work.

Answer:

Show your work below:

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