Question

Imagine that a person, say his name is Flip, has an oddly deformed coin and tries the
following experiment. Flip flips his coin 10 times, 7 of which are heads. You think
maybe Flip’s coin is biased towards having a greater probability of yielding a head
than 50%.
a. What is the maximum likelihood estimate of p, the true probability of heads
associated with this coin?
b. Plot the likelihood associated with this experiment. Renormalize the likelihood so
that its maximum is one. Does the likelihood suggest that the coin is fair?
c. probability of seeing 7 or more heads out of ten coin