Letx

x

be a random variable that possesses a binomial distribution withp

=

0.9

p=0.9

andn

=

8

n=8

. Using the binomial formula or tables, calculate the following probabilities. Also calculate the mean and standard deviation of the distribution. Round solutions to four decimal places, if necessary.

P

(

x

3

)

=

P(x3)=

P

(

x

4

)

=

P(x4)=

P

(

x

=

5

)

=

P(x=5)=

=

=

=

=