Identify the distribution and provide a symbolic answer or an Excel expression f

ID: 3340754 • Letter: I

Question

Identify the distribution and provide a symbolic answer or an Excel expression for each part of the problem

During the study, patients have relapses of fever at an instant rate of 1.85% per month. What is the probability that a given patient

a) Will have a relapse within the three months needed for the study of Pande's treatment?

b) Will have a relapse sometime in the second six months?

c) Will have no relapse in the first 6 months?

d) Will have a relapse in the second year, knowing that no relapse occured in the first year?

Ans:

a)Exponential distribution:

P(x<3 mnths)=1-e-0.0185*3

=1-e-0.0555=1-0.9460=0.0540

b)Exponential dstribution:

P(x>6 mnth)=e-0.0185*6=e-0.111=0.8949

c)poisson distribution:

P(k=0)=e-0.111*(0.111^0/0!)=e-0.111=0.8949

d)Exponential distribution is memoryless,so it will be equivalent to:

P(x>12)=e-12*0.0185=e-0.222=0.8009