Question

A recent survey found that the ages of workers in a factory is distributed as follows:

Age (in years)	20 – 29	30 – 39	40 – 49	50 – 59	60 and above
Number of workers	38	27	86	46	3

If a person is selected at random, find the probability that the person is under 40 years

Answer 1

Total numbers of workers in a factory,

n(S) = 38 + 27 + 86 + 46 + 3 = 200

Number of persons selected under the age of 40 years

n(E₂) = 38 + 27 = 65

∴ Probability that the persons selected under the age of 40 years,

P(E₂) = `(n(E_2))/(n(S)) = 65/200` = 0.325

Hence, the probability that the persons selected under the age of 40 years is 0.325