Assume that random guesses are made for 8 multiple choice questions on an SAT test, so that there are n=8 trials, each with probability of success (correct) given by p=0.65. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4 .

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?