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. Col1 Household Size 1 2 3 4 5 6 7 8 Col2 Probability 0.02 0.09 0.18 0.25 0.20 0.12 0.08 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 typical household in India? (Round your answer to 2 decimal places.)
Probability
c. What is the probability that the number of members in a typical household in India is strictly between 2 and 5? (Round your answer to 2 decimal places.)

Probability

Answer 1

Answer:

0.54,0.46,0.43

Step-by-step explanation:

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

The pdf of household size say X in India varies from 1 to 8.

The distribution is shown as follows

X       1      2     3        4      5       6        7      8       Total

P  0.02  0.09  0.18  0.25  0.20  0.12  0.08  0.06    1.00

a) the probability that there are less than 5 members in a household in India

=$P(X$

=$P(1 to 4) = 0.54$

b.  the probability that there are 5 or more members in a typical household

in India

=$P(X\geq 5) = P(5 to 8)\\\\= =0.46$

c) the probability that the number of members in a typical household in India is strictly between 2 and 5

$=P(2$