A certain senior citizen purchases51,"6-49" lottery tickets a week, where each ticket consists of a different six-number combination. The probability that this senior will win - (to win at least three of the six numbers on the ticket must match the six-number winning combination) on any ticket is about 0.018638.

a) What probability distribution would be appropriate for finding the probability of anyindividualticket winning?

Binomial

Negative Binomial

Hypergeometric

Poisson

b)How many winning tickets can the senior expect to have each week?

E[X]=X=

Standard deviation in the number of winning tickets?

SD[X]=X=equation editor

c)What is the probability that the senior will have at least 1 winning ticket?

P(X1)=

at most one winning ticket?

P(X1)=

d)What is the probability that the senior will have between 3 and 7 (inclusive) winning tickets?