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Introduction To Mathematical Modelling

Question
CBSEENMA9004010

At a hospital, a doctor compiled the following data about 400 patients whom he could cure of hepatitis:

Time for cure

No. of patients

< 1 month

210

1–2 months

105

2-3 months

60

> 3 months

25

Another case of hepatitis is reported. What is the probability that this patient will be cured in

(i)   less than 2 months?
(ii)  1 month or more but not more than 3 months?

Solution

Total number of patients = 400

(i) Number of patients who were cured in less than 2 months = 210+ 105 = 315
∴ Probability that the patient will be cured in less than 2 months = 315 over 400 equals 63 over 80

(ii) Number of patients who were cured in 1 month or more but not more than 3 months

= 105 + 60 = 165
∴ Probability that the patient will be cured in
1 month or more but not more than 3 months  equals 165 over 400 equals 33 over 80.