DaNeeka is conducting market research on the price of desktop computers. DaNeeka has determined that the average cost of a desktop computer is $797, and that the distribution of costs is normally distributed with a standard deviation of $71. a. If a desktop computer is randomly selected, what is the probability that the desktop computer costs less than $730? b. If a desktop computer is randomly selected, what is the probability that the cost is between $730 and $947? c. Suppose that DaNeeka collects a random sample of the costs of 23 desktop computers. What is the probability that the sample mean cost is between $811 and $828?