Construct a probability distribution


Discuss the below:

Q: A frequency distribution is shown below.  Complete parts (a) through (e).

The number of dogs per household in a small town.

Dogs                 0          1              2          3            4            5             

Households        1185      425         163         45           28         15

x

P(x)

0

 

1

 

2

 

3

 

4

 

5

 

 

 

 

 

 

(a)Use the frequency distribution to construct a probability distribution. (round to the nearest thousandth as needed)

(b)  Find the mean of the probability distribution.

µ = ____ (round to the nearest tenth as needed)

(c)  Find the variance of the probability distribution.

o² = ____ (round to the nearest tenth as needed)

(d) Find the standard deviation of the probability distribution.

____ (round to the nearest tenth as needed)

(e) Interpret the results in the context of the real-life situation.  (choose the correct option below)

A household on average has 0.6 dog with a standard deviation of 15 dog.

A household on average has 1.0 dog with a standard deviation of 0.6 dog.

A household on average has 0.9 dog with a standard deviation of 1.0 dog.

A household on average has 0.6 dog with a standard deviation of 1.0 dog.

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Basic Statistics: Construct a probability distribution
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