The following table shows the number of males in a country in 2000, broken down

Question

The following table shows the number of males in a country in 2000, broken down by age. Numbers are in millions. 75 Age 0-18 18-25 25-35 35-45 45-55 55-65 65-75 and over Number 37.4 15.2 20.5 25.1 19.3 11.8 8.3 5.8 Construct the associated probability distribution (with probabilities rounded to four decimal places) 75 and over Age 0-18 18-25 25-35 35-45 45-55 55-65 65-75 Probability 2608 1060 1430 1750 1346 0823 0579 0404 Use the distribution to compute the following. (Round your answers to four decimal places.) (a) P(25 sxs 65) 5349 (b) P(X s 18) 2608 (c) P(X 2 15) 6862

Explanation / Answer

Solution:-So we can divide the probability of the people in one year.

So one year probability 0 to 17 year = 0.2608/17 = 0.0153

Now 15 to 18 year probability = 3 × 0.0153 = 0.0459

the total probability from 15 above population

=> 0.0459 + 0.1060 + 0.1430 + 0.1750 + 0.1346 + 0.0823 + 0.0579 + 0.0404 = 0.7851

=> (c) P(X 15) = 0.7851

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