The variable X is distributed as N(μ, 100). 200 values xi are randomly drawn from the population, but only recorded if each extracted value is greater than 230. Define the variable Y such that yi = 1 if xi > 230. For the given sample, $\sum_{i=1}^{n} y_i = 120$.
a) Provide a maximum likelihood estimator of the probability p that X is greater than 230.
b) Obtain the maximum likelihood estimate of μ.
For point a, you can easily arrive at the log-likelihood of a Bernoulli distribution with the estimated parameter $\hat{p}_{\text{ML}}=0.6$
For point b, honestly, I have no idea.