Consider the following exponential probability density function.

f(x)1/6e^-x/6 forx 0

If needed, round your answer to four decimal digits.

(a)Choose the correct formula forP(xx0).

(I)-1+e^-x/6

(II)-1-e^-x/6

(III)-1+e^x/6

(iv)-1-e^x/6

(b)FindP(x 2).

(c)FindP(x 3).

(d)FindP(x 5).

(e)FindP(2 x 5).