Consider the random experiment of selecting a playing card from a deck of 52 playing cards. each card corresponds to a sample point with a 1/52 probability. how many sample points are there in the event that a king is selected? how many sample points are there in the event that a spade is selected? how many sample points are there in the event that a non face card (non jack, non queen, or non king) is selected? find the probabilities associated with each of the events in parts (a), (b), and (c) (to 2 decimals).

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?