The actor Kevin Bacon has been in so many movies that almost everyone in Hollywood can be connected to him within six degrees. Let n 5 1,326,359, the number of actors linked to Kevin Bacon. The...

The actor Kevin Bacon has been in so many movies that almost everyone in Hollywood can be connected to him within six degrees. Let n 5 1,326,359, the number of actors linked to Kevin Bacon. The probability distribution for the Bacon Number of a randomly selected Hollywood personality is given in the following table.

While the temperature range of most household ovens is approximately 200–600°F, most consumers only use four or five common settings. Suppose the probability distribution for the oventemperature setting for a randomly selected use is given in the table below.

a. Find the mean, variance, and standard deviation of the oven temperature settings.

 b. Suppose three different uses are randomly selected. Find the probability that the temperature settings for all three are at least 400°F.

c. Suppose three different uses are randomly selected. Find the probability that exactly one use is for 350°F.