1. Pairs of chips, one each from brands A and B, are tested for their longevity. In 100 such experiments, brand A came out on top 65 times. What is the probability that this performance or better can happen just by chance? 2. A popular resort hotel has 300 rooms and is usually fully booked. About 4% of the time a reservation is cancelled before the 6:00 p.m. deadline with no penalty. What is the probability that at least 280 rooms will be occupied? Use the binomial distribution to find the exact value and the normal approximation to the binomial and compare your answers.