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

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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 for population control, some argue that the birth rate, especially in rural India, is still too high to be sustainable. A demographer computes the following probability distribution of the household size in India.

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

b. W hat is th e p ro b a b ility th a t the re are 5 or m ore m em bers in a typ ica l ho useho ld in India?

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

d. Graphically depict this probability distribution and comment on its symmetry. L05 

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