Question

India is the second most populous country in the world, with a population of over 1 billion people. Although the government has offered various incentives for population control, some argue that the birth rate, especially in rural India, is still too high to be sustainable. A demographer assumes the following probability distribution for the household size in India.

Household Size	Probability
1	0.02
2	0.09
3	0.18
4	0.25
5	0.20
6	0.12
7	0.08
8	0.06

a. What is the probability that there are less than 5 members in a household in India? (Round your answer to 2 decimal places.)

b. What is the probability that there are 5 or more members in a household in India? (Round your answer to 2 decimal places.)


c. What is the probability that the number of members in a household in India is strictly between 2 and 5? (Round your answer to 2 decimal places.)

Answer 1

Household Size	Probability
1	0.02
2	0.09
3	0.18
4	0.25
5	0.2
6	0.12
7	0.08
8	0.06

a.

P(Less than 5 members in a household in India)

=P(Household size = 1) + P(Household size = 2)+P(Household size = 3)+P(Household size = 4)

b.

P(5 or more members in a household in India)

=P(Household size = 5)+P(Household size = 6) + P(Household size =7)+P(Household size = 8)

c.

P(the number of members in a household in India is strictly between 2 and 5)

= P(3) + P(4)

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