Question

Problem 3 Suppose that 20,000 married adults in the United States were as theoretical probabilities. Let X equal the number of children, with PDF as per the table below. All entries are to be decimal values accurate to the nearest 0.01. surveyed as to the number of children they have. The results are compiled and used P) P() 0 01 1 005 2 015 3 03 0.15 6 01 Complete the table above a. b. Determine the expected value. EX Why? pick likely that a married adult will have 2 to 3 children or 4 to 6 children? pick one c Is it more one

Answer 1

Ans:

a)

Sum of all probabilities should be 1.

x	P(x)	x*P(x)
0	0.1	0
1	0.05	0.05
2	0.15	0.3
3	0.3	0.9
4	0.15	0.6
5	0.15	0.75
6	0.1	0.6
Total	1	3.2

b)

Expected value=3.2

c)

P(2 to 3 children)=0.15+0.3=0.45

P(4 to 6 children)=0.15+0.15+0.1=0.40

it is more likely to have 2 to 3 children as Probability of 2 to 3 is higher i.e. 0.45