Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:
Age (in years) | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
Number of patients | 90 | 50 | 60 | 80 | 50 | 30 |
On 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?
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