An experiment involves tossing a single die. These are some events: Observe a 2 Observe an even number Observe a number greater than 2 Observe both A and B Observe A or B or both Observe both A and C List the simple events in the sample space. List the simple events in each of the events A through F. What probabilities should you assign to the simple events? Calculate the probabilities of the six events A through F by adding the appropriate simple-event probabilities.

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?