A recent survey found that the edges ages of workers in a factory as follow. If a person is selected at random, find the probability that the person isA. 40 yr or moreB. under 40 yrC. having age from 30-39 year.D. under 60 but over 39 year.

A recent survey found that the edges ages of workers in a factory as f

1.	A recent survey found that the edges ages of workers in a factory as follow. If a person is selected at random, find the probability that the person isA. 40 yr or moreB. under 40 yrC. having age from 30-39 year.D. under 60 but over 39 year.
Answer» Total number of worker in a factory. n(S)=38+27+86+46+3=200 i) Number of persons selected at the edge of 40 yr or more, `P(E_(1))=86+46+3=135` Probability that the persons selected at the age of 40 yr or more, `P(E_(1))=(n(E_(1)))/(n(S))=135/200=0.675` Hence, the probability that the person selected at the age of 40 yr or more is 0.675. ii) Number of persons selected under the age of 40 yr `(n(E_(2)))=38+27=65` `therefore` Probability that the persons selected under the age of 40 yr. `P(E_(2))=n(E_(2))/n(S)=65/200=0.325` Hence, the probability that the person selected under the age of 40 yr is 0.325. iii) Number of persons selected having age from 30 to 39 yr, `n(E_(3))=27` `therefore` Probability that the person selected having age from 30 to 39 yr, `P(E_(3))=(n(E_(3)))/(n(S))=27/200=0.135` Hence, the probability that the person selected having age from 30 to 39 yr is 0.135. iv) Number of persons selected having age under 60 but over 39 yr. `n(E_(4))=86+46=132` `therefore` Probability that the person selected having age under 60 but over 39 yr. `P(E_(4))=(n(E_(4)))/(n(S))=132/200=0.66` Hence, the probability that the person selected having age under 60 but over 39 yr is 0.66