a) Find the probability of throwing a sum of 3 at least 5 times in 6 throws of a pair of fair dice.

P(throwing a sum of 3 at least 5 times in 6 throws)=

b) Suppose the number of cars in a household has a binomial distribution with parameters n=8, and p=90%

Let X represent the number of cars in a household

Find the following probabilities.

a. P(\(X=2X=5)=

b. P(X3)=

c. P(X6)=

d. P(X<5)=

e. P(X>3)=