1.

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:Age (in years)10-2020-3030-4040-5050-6060-70Number of patients905060805030On of the patients is selected at random.What is the probability that his age is(i) 30 years or more but less than 40 years?(ii) 50 years or more but less than 70 years?(iii) 10 years or more but less than 40 years?(iv) 10 years or more?(v) less than 10 years?

Answer»

It is given that

Total number of patients = 360

(i) We know that

Probability that his age is 30 years or more but less than 40 years = 60/360 = 1/6

(ii) We know that

Probability that his age is 50 years or more but less than 70 years = (50 + 30)/360

So we get

Probability that his age is 50 years or more but less than 70 years = 80/360 = 2/9

(iii) We know that

Probability that his age is 10 years or more but less than 40 years = (90 + 50 + 60)/360

So we get

Probability that his age is 10 years or more but less than 40 years = 200/ 360 = 5/9

(iv) We know that

Probability that his age is 10 years or more = 1

(v) We know that

Probability that his age is less than 10 years = 0



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