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	0.03
2	0.11
3	0.15
4	0.24
5	0.16
6	0.16
7	0.11
8	0.04

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

Answer::

a. Probability that there are less than 5 members = 0.53
P(X=1)+P(X=2)+P(X=3)+P(X=4) = 0.03+0.11+0.15+0.24 = 0.53

b. Probability that there are 5 or more members in a household = 0.47
1 - [ P(X=1)+P(X=2)+P(X=3)+P(X=4)] = 1-0.53 = 0.47

c. Probability that the number of members in a household in India is strictly between 2 and 5= 0.66
P(X=2)+P(X=3)+P(X=4)+p(X=5) = 0.11+0.15+0.24+0.16 = 0.66