2) Consider the following exponential probability density function. f(x)=1/8 e^((-x)/8)

for x 0

a) Write the formula for P (x x₀).

b) Find P (x 2 ). e = 2.718282

P(xx0)=1 - e^(-x_0/) 1/8 * e^( ______ / 8 )= ______

P( x <= 2 ) = _____

c) Find P ( x 3 ). e = 2.718282

f(3)= 1/8 * e^( _____ / 8 )= _______

P( x <= 3 ) = _____

P( x >= 3 ) = ______

d) Find P (x <= 5 ).

e = 2.718282

F(____)= 1/8 * e^(____ / 8 )= _____

P( x <= 5 ) = ______

e) Find P( 2 <= x <= 5 ).

P( 2 <= x <= 5 ) = ______