(1) How many times should you toss a coin if you want a probability of st least .9 of getting heads at least once? (2) An advertisement for a certain tutoring service claims that 95% of its students show an improvement of 100 or more points in their SAT scores after completion of the course. A random sampling of 18 students showed that only 13 of them improved their scores by 100 or more points. (a) If the claim in the advertisement is correct, what is the probability that so few (i.c., 13 or fewer from a sample of 18) would improve their scores by 100 or more points? (b) Should we be suspicious of the claim in the advertisement? (c) How should you answer part (b) if 16 of the 18 students showed an improvement of 100 or more points? Explain