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 0.04 2 0.13 3 0.15 4 0.22 5 0.17 6 0.15 7 0.11 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 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?

Question

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Respuesta :

Alcaa Alcaa · Answer 1 · 2020-03-11T10:50:16+01:00

Answer:

(a) 0.54

(b) 0.46

(c) 0.37

Step-by-step explanation:

We are given the following probability distribution for the household size in India;

Household Size (X) Probability (P(X))

1 0.04

2 0.13

3 0.15

4 0.22

5 0.17

6 0.15

7 0.11

8 0.03

Total = 1

Let X = Number of members in a household

(a) Probability that there are less than 5 members in a household = P(X < 5)

P(X < 5) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= 0.04 + 0.13 + 0.15 + 0.22 = 0.54

(b) Probability that there are 5 or more members in a typical household in India = P(X >= 5)

P(X >= 5) = 1 - P(X > 5)

= 1 - 0.54 = 0.46

(c) Probability that the number of members in a typical household in India is strictly between 2 and 5 = P(2 < X < 5)

P(2 < X < 5) = P(X = 3) + P(X = 4)

= 0.15 + 0.22 = 0.37