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**MathRules!** A recent national study showed that approximately 45% of college students binge drink. Let X equal the number of students

in a random sample of size n = 12 who binge drink. Find the probability that

(a) X is at most 5

(b) X is at least 6

(c) X is equal to 7

(d) Give the mean, variance, and standard deviation of X

I tried solving the answers and received the following

(a) 0.5269

(b) 0.96615

(c) 0.148945

(d) mean = 0.45, variance = 0.2475, standard deviation = 0.4975