Given thatx

xis a random variable having a Poisson distribution, compute the following:

(a)

P(x=8)

P(x=8)when=3.5

=3.5

P(x)=

P(x)=

(b)

P(x2)

P(x2)when=0.5

=0.5

P(x)=

P(x)=

(c)

P(x>9)

P(x>9)when=5.5

=5.5

P(x)=

P(x)=

(d)

P(x<6)

P(x<6)when=1.5

=1.5

P(x)=

P(x)=