Assume that X is a binomial random variable with n = 12 and p = 0.90. Calculate the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.

P(X = x) = 12Cx * 0.9^{x} * (1  0.9)^{12x}
a) P(X = 11) = 12C11 * 0.9^{11} * 0.1^{1} = 0.3766
b) P(X = 10) = 12C10 * 0.9^{10} * 0.1^{2} = 0.2301
c) P(X > 10) = P(X = 10) + P(X = 11) + P(X = 12)
= 12C10 * 0.9^{10} * 0.1^{2} + 12C11 * 0.9^{11} * 0.1^{1} + 12C12 * 0.9^{12} * 0.1^{0}
= 0.8891
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