The random variable X follows a Poisson process with the given value of

and t. Assuming =0.09 and t=15, compute the following.

(a) P(4)

(b) P(X<4)

(c) P(X4)

(d) P(3X6)

(e) XandX

(a) P(4)__________

(Do not round until the final answer. Then round to four decimal places asneeded.)

(b) P(X<4)________

(Do not round until the final answer. Then round to four decimal places asneeded.)

(c) P(X4)_______

(Do not round until the final answer. Then round to four decimal places asneeded.)

(d) P(3X6)__________

(Do not round until the final answer. Then round to four decimal places asneeded.)

(e) X ______________

(Round to two decimal places asneeded.)

X ________

(Round to three decimal places asneeded.)