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Question 1 (General Discrete) Household Size from U.S. Census of 2010 Let X be the random...

Question 1 (General Discrete)

Household Size from U.S. Census of 2010

Let X be the random variable: number of people (persons!) in a household.

Number of people in household (x)

Probability

P(X=x)

xP(x)

x-μ

x-μ2

P(x)x-μ2

1

0.267

2

0.336

3

0.158

4

0.137

5

0.063

6

0.024

7

0.015

Totals:
  1. Confirm that this is a probability distribution.
  2. Draw a bar chart.
  3. Is the distribution symmetric, left or right skewed?
  4. Calculate the mean and standard deviation.
  5. What is the probability of more than three persons in a household?
  6. What is the probability that   x≤3 or x>5 ?
  7. Calculate P(3≤x<6) .
Math   Statistics-And-Probability   
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