I'm confused by this question and I was hoping for some guidance some one to point me in the right direction
Let X1.........Xn be a random sample from a population with mean μ, that is E(Xi)=μ for all 1≤i≤n. Define
Yi=1 if Xi<μ and Yi=0 otherwise
a) Determine the distribution of Y=∑1≤i≤nYi (name and parameters)
b)Determine the mean and variance of Y
c)Compute P(Y≤30) for special case of n=49 and Xi..........Xn iid Exp∼(λ=3)
no unfortunately there is no definition of that
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