Statistics

Statistics

A.3 Homework Set: Probability & Probability Distributions

1. Determine whether each distribution is a probability distribution. a.

0 1 5

5 1 5

10

15

20

1 5

1 5

1 5

( )

b.

0

2

4

6

( )

−1

1.5

0.3

0.2

c.

1 1 4

2 1 8

3

4

1 16

9 16

( )

d.

2

3

7

( )

0.5

0.3

0.4

2. State whether the variable is discrete or continuous. a. The speed of the car

b. The number of cups of coffee a fast-food restaurant serves each day

c. The number of people who play the state lottery each day

d. The weight of an elephant

e. The time it takes to complete an exercise session

3. If three coins are tossed, find the mean number of heads that will occur. The probability distribution is as follows: = ( ) = ∑ ( )

No. of Heads,

0 1 8

1 3 8

2 3 8

3 1 8

Probability, ( )

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