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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

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 0.06
2 0.12
3 0.16
4 0.22
5 0.21
6 0.13
7 0.07
8 0.03

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 4 and 7?

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