Suppose we repeat an experiment identically and independently 100 times. Each time we construct a 99% confidence interval for μ via the t-distribution. Let X = the number of times the confidence interval fails to contain the true value of μ. The distribution of X is
(a) Normal with μ=99 and σ2=0.99
(b) Normal with μ=0 and σ2=1
(c) Binomial with n=100 and p=0.99
(d) Binomial with n=100 and p=0.01