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6. A survey indicates that for each trip to a supermarket, a shopper spends an average of 48 minutes with a standard deviation of 10 minutes in the store. The lengths of time spent in the store are normally distributed and are represented by the variable x. A shopper enters the store. Find the probability that the shopper will be in the store less than 58 minutes. 7. The lengths of lumber a machine cuts are normally distributed, with a mean of 48 inches and a standard deviation of 0.5 inch. You randomly select 75 boards. Find the probability that their mean length is (a) Greater than 47.95 inches. (Draw the bell curve) (b) Between 47.85 inches and 48.05 inches (Draw the bell curve)