contestada

"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

Respuesta :

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

=[tex]P(X<5)[/tex]

=[tex]P(1 to 4) = 0.54[/tex]

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

in India

=[tex]P(X\geq 5) = P(5 to 8)\\\\= =0.46[/tex]

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

[tex]=P(2<x<5) = P(3)+P(4)\\=0.43[/tex]

abidemiokin

The probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively

Probability distribution

Given the probability distribution for the household size in India as shown;

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 the number of members in a typical household in India is strictly less than 5 is given as:

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

P(X < 5) =  0.02+ 0.09 + 0.18 + 0.25

P(X < 5) = 0.54

b) The probability that the number of members in a typical household in India is greater or equal to 5 is given as:

P(X ≥ 5) = P(X=5) +  P(X=6) +  P(X=7) +  P(X=8)

P(X  ≥ 5) =  0.20 +  0.12 + 0.08 + 0.06

P(X  ≥ 5) = 0.46

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

P(2 < X < 5) = P(X=3) +  P(X=4)

P (2 < X < 5) =  0.18 + 0.25

P (2 < X < 5) = 0.43

Hence the probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively

Learn more on probability distribution here: https://brainly.com/question/24756209

Otras preguntas

good job