Suppose we roll a fair four-sided die 11 times. Let X be the count of 3s rolled. Then X has a binomial distribution with n = 11 and p = 0.25. Match the following probabilities (2 are very logical, 2...

Suppose we roll a fair four-sided die 11 times.  LetX be the count of 3s rolled.  ThenX has a binomial distribution with
n
 = 11 and
p
 = 0.25.

Match the following probabilities (2 are very logical, 2 require the binomial formula of use the the binomial excel spreadsheet).

P(X=0)

A) 0.1921

B) 1

C) 0.2581

D) 0.1141

E) 0.0422

F) 0

E) 0.5

P(X=3)

A) 0.1921

B) 1

C) 0.2581

D) 0.1141

E) 0.0422

F) 0

E) 0.5

P(X<>

A) 0.1921

B) 1

C) 0.2581

D) 0.1141

E) 0.0422

F) 0

E) 0.5

P(X=-6)

A) 0.1921

B) 1

C) 0.2581

D) 0.1141

E) 0.0422

F) 0

E) 0.5