# Question: India is the second most populous country in the world

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 of the household size in India.

Household ......... Size Probability

1 ....... 0.05

2 ........ 0.09

3 ....... 0.12

4 ........ 0.24

5 ........ 0.25

6 ........ 0.12

7 ........ 07

8 ........ 0.06

a. What is the probability that there are less than 5 members in a household in India?

b. What is the probability that there are 5 or more members in a household in India?

c. What is the probability that the number of members in a household in India is strictly between 3 and 6?

d. Graphically depict this probability distribution and comment on its symmetry.

Household ......... Size Probability

1 ....... 0.05

2 ........ 0.09

3 ....... 0.12

4 ........ 0.24

5 ........ 0.25

6 ........ 0.12

7 ........ 07

8 ........ 0.06

a. What is the probability that there are less than 5 members in a household in India?

b. What is the probability that there are 5 or more members in a household in India?

c. What is the probability that the number of members in a household in India is strictly between 3 and 6?

d. Graphically depict this probability distribution and comment on its symmetry.

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