Question

Household Size Probability 1 0.04 2 0.09 3 0.14 4 0.20 5 0.29 6 0.14 7 0.08 8 0.02 a. What is the probability that there are less than 5 members in a household in India

Answer 1

The probability that there are less than 5 members in a household in India is 0.47 or 47%.

Step-by-step explanation:

To find the probability that there are less than 5 members in a household in India, we need to sum up the probabilities of households with 1, 2, 3, and 4 members.

P(less than 5 members) = P(1 member) + P(2 members) + P(3 members) + P(4 members)

= 0.04 + 0.09 + 0.14 + 0.20 = 0.47

Therefore, the probability that there are less than 5 members in a household in India is 0.47 or 47%.

Answer 2

Given:

Probability distribution table is:

Household Size : 1 2 3 4 5 6 7 8

Probability : 0.04 0.09 0.14 0.20 0.29 0.14 0.08 0.02

To find:

The probability that there are less than 5 members in a household in India.

Solution:

Let x be the number of members in a household. The probability that there are less than 5 members in a household in India is:

`P(x<5)=P(x=1)+P(x=2)+P(x=3)+P(x=4)`

`P(x<5)=0.04+0.09+0.14+0.20`

`P(x<5)=0.47`

Therefore, the probability that there are less than 5 members in a household in India is 0.47.