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Defining the random variable X...

Defining the random variable X to be family size from this data set:

Number in Family

6

4

6

4

9

4

2

1

6

1

4

3

2

3

5

6

11

3

3

6

4

3

4

5

4

8

3

1

3

3

3

4

3

3

2

3

4

4

7

6

1

5

3

2

4

2

5

4

4

4

6

4

2

4

4

2

2

4

2

4

7

4

4

5

3

1

2

3

1

3

4

4

4

4

3

3

3

6

5

3

2

3

6

3

7

4

A) What makes X a discrete random variable and not a continuous one?

B)Create a probability distribution table showing the possible values of X, the frequency of each value, and the associated relative frequency values P(x) as determined by the data.

C) Determine the expected (mean) of the random variable X using only your probability distribution table created in part B:

D) Determine the standard deviation of the random variable X using only values within the probability distribution table.

E) Applying the Range Rule of Thumb decide if any of the included values of the random variable X are unusual and give a concluding statement in regard to your decision.

F) Create a probability statement which is supported by the values in the probability distribution table.

What makes X a discrete random variable and not a continuous?

Number in Family

6

4

6

4

9

4

2

1

6

1

4

3

2

3

5

6

11

3

3

6

4

3

4

5

4

8

3

1

3

3

3

4

3

3

2

3

4

4

7

6

1

5

3

2

4

2

5

4

4

4

6

4

2

4

4

2

2

4

2

4

7

4

4

5

3

1

2

3

1

3

4

4

4

4

3

3

3

6

5

3

2

3

6

3

7

4

A) What makes X a discrete random variable and not a continuous one?

B)Create a probability distribution table showing the possible values of X, the frequency of each value, and the associated relative frequency values P(x) as determined by the data.

C) Determine the expected (mean) of the random variable X using only your probability distribution table created in part B:

D) Determine the standard deviation of the random variable X using only values within the probability distribution table.

E) Applying the Range Rule of Thumb decide if any of the included values of the random variable X are unusual and give a concluding statement in regard to your decision.

F) Create a probability statement which is supported by the values in the probability distribution table.

What makes X a discrete random variable and not a continuous?

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