It was claimed that 1 out of 5 cardiologists takes an aspirin a day to prevent hardening of the arteries. Suppose the claim is true. If 1,500 cardiologists are selected at random, what is the probability that at least 275 of the 1,500 take an aspirin a day? Be sure to include a sketch of the graph of the distribution used (label the x-axis and shade the appropriate tail(s)).