Telephone calls

The random variable modelling the time between 2 phone calls has an exponential distribution with density f(x) = 10e^(−10x), x > 0. Calculate its distribution function and the probability that the time between calls does not exceed 5 seconds, the time between calls exceeds 15 seconds, and the time between calls is between 5 and 15 seconds.

Final Answer:

p1 =  -5.1847055285871E+21

Step-by-step explanation:

f(x)=1010x  F(x) =  f(x) =  e 10x p1 = F(5)F(0) F0=e10 0=1 F5=e10 5=5.18470552858711021 p1=F5F0=(5.18470552858711021)(1)=5.18470552858711021



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