Mike teaches two sections of Applied Statistics each year for thirty years, for a total of 1500 students. Each of his students spins a penny 89 times and counts the number of Heads. Assuming that each...

Mike teaches two sections of Applied Statistics each year for thirty
years, for a total of 1500 students. Each of his students spins a penny
89 times and counts the number of Heads. Assuming that each of
these 1500 pennies has P(Heads)=0.3 for a single spin, what is the
probability that Mike will encounter at least one student who observes
no more than two Heads?