India is the second most populous country in the world, with a population of over 1 billion

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 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 and comment on its symmetry.

Distribution
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