Q. 114.6( 7 Votes )

# Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:

One of the patients is selected at random.

Find the probability that his age is

(i) 30 Year or more but less than 40 years.

(ii) 50 year or more but less than 70 years

(iii) Less than 10 years.

(iv) 10 years or more.

Answer :

Total number of Patients: 360

Number of Patients who are 30 Years or more but less than 40 years: 60

(This include age groups between 30-40)

Number of Patients who are 50 Years or more but less than 70 years: 80

(This include patients of age groups 50-60 and 60-70 therefore 50+30=80)

Number of Patients who are less than 10 years: 0 (No patients below 10 years)

Number of Patients who are 10 years or more: 360 (this include all age -

groups admitted in the hospital)

Probability P() =

(i). Let P(P_{1}) be probability of patients between age groups 30-40

P (P_{1}) =

P (P_{2}) =

(ii). Let P(P_{2}) be probability of patients between age groups 50-70

P (P_{2}) =

P (P_{2}) =

(iii). Let P(P_{3}) be probability of patients who are less than 10 years

P (P_{3}) =

P (P_{3}) =

(iv). Let P(P_{4}) be probability of patients whose age is more than 10 years

P (P_{4}) =

P (P_{4}) =

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