1) Consider the probability distribution shown below

x: 0, 1, 2

P(x): 0.05, 0.80, 0.15

(a) Compute the expected value of the distribution.

(b) Compute the standard deviation of the distribution. (Round your answer to four decimal places.)

2) Given the binomial experiment withn=300

trials and probability of success on a single trialp=0.02,

find the value of

=

Use the Poisson distribution to estimate the probability ofr=6

successes. (Round your answer to four decimal places.)

P(r=6) =