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Here is an extract from a mortality table.
Age (in years) Number of persons surviving out of a sample of one million
60 16090
61 11490
62 8012
63 5448
64 3607
65 2320
(i) Based on this information, what is the probability of a person ‘aged 60’ of dying within a year?
(ii) What is the probability that a person ‘aged 61’ will live for 4 years?

Solution:

(i) We observe that about 16090 persons are aged 60, (16090-11490)

4600 persons died before reaching their 61st birthday

P (a person aged 60 die within a year) = 4600/16090 = 460/1609

(ii) It is given that

Number of persons aged 61 years = 11490

Number of persons surviving for 4 years = 2320

P(a person aged 61 will live for 4 years) = 2320/11490 = 232/1149

Therefore, the probability of a person ‘aged 60’ of dying within a year is 460/1609 and the probability that a person ‘aged 61’ will live for 4 years is 232/1149.

✦ Try This: The following observations are arranged in ascending order : 24, 20, 40, 50, x, x + 4, 70, 75, 80, 90

If the median is 20, find the value of x.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.3 Sample Problem 3

Here is an extract from a mortality table. Age (in years) Number of persons surviving out of a sample of one million 60 16090 61 11490 62 8012 63 5448 64 3607 65 2320. (i) Based on this information, what is the probability of a person ‘aged 60’ of dying within a year? (ii) What is the probability that a person ‘aged 61’ will live for 4 years?

Summary:

The mortality table is extracted. (i) Based on this information, the probability of a person ‘aged 60’ of dying within a year is 460/1609, (ii) The probability that a person ‘aged 61’ will live for 4 years is 232/1149

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