Census data are often used to obtain probability distributions for various random variables. Census data for families in a particular state with a com

emancipezN

emancipezN

Answered question

2020-12-12

Census data are often used to obtain probability distributions for various random variables. Census data for families in a particular state with a combined income of $50,000 or more show that 22% of these families have no children, 30% have one child, 27% have two children, and 21% have three children. From this information, construct the probability distribution for x, where x represents the number of children per family for this income group. (Give your answers correct to two decimal places.) P(0children)=
P(1child)=
P(2children)=
P(3children)=

Answer & Explanation

Mayme

Mayme

Skilled2020-12-13Added 103 answers

Step 1 Here, the given data is:

No Children =22%

One Child =30%

Two Chidren =27%

Three Children =21%

Total %=22%+30%+27%+21%

Total %=100%

Step 2

The probability distribution table is:

XP(X)022/100=0.22130/100=0.30227/100=0.27321/100=0.21

P(0)=0.22

 P(1)=0.30

P(2)=0.27

P(3)=0.21

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