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 60 but over 39 years

Answer 1

Total numbers of workers in a factory,

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

Number of persons selected having age under 60 but over 39 years,

n(E₄) = 86 + 46 = 132

∴ Probability that the person selected having age under 60 but over 39 years,

P(E₄) = `(n(E_4))/(n(S)) = 132/200` = 0.66

Hence, the probability that the person selected having age  under 60 but over 39 years is 0.66