Construct a probability distribution


Solve the following problem:

Dogs

Households

0

1327

1

402

2

162

3

47

4

28

5

11

Q: a. Use a frequency distribution to construct a probability distribution

x

P(x)

0

 

1

 

2

 

3

 

4

 

5

 

Round to the nearest Thousandth as needed

Dogs

0

1

2

3

4

5

Households

1327

402

162

47

28

11

b. Find the mean of the probability distribution

c. Find the variance of the probability distribution.

d. Find the standard deviation of probability distribution.

e. Interpret the results of the context of the real-life situation

(Choose One)

(a)  A household on average has 0.8 dog with a standard deviation of 0.9 dog

(b) A household on average has 0.5 dog with a standard deviation of 0.9 dog

(c)  A household on average has 0.5 dog with a standard deviation of 11 dog

(d) A household on average has 0.9 dog with a standard deviation of 0.5 dog

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Basic Statistics: Construct a probability distribution
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