Answer:
a)e^-(λ20891)
b)1-e^-(λ30598)
c)1-e^-(λ30598)-e^-(λ20891)
Step-by-step explanation:
The probability density function (pdf) of an exponential distribution is
f(x,λ)=λe^-(λx) for x>0, and 0 for x<0
The cumulative distribution function is given by
F(x,λ)=1-e^-(λx) for x>0, and 0 for x<0
P(X≥20891)=1-P(X≤20891)=1-F(20891,λ)=e^-(λ20891)
P(X≤30598)=F(30598,λ)=1-e^-(λ30598)
P(20891≤X≤30598)=F(30598,λ)-(20891,λ)=1-e^-(λ30598)-e^-(λ20891)
