2) An LED light bulb produces the same light as a 75 watt incandecent bulb, but only uses an average of 7.802 watts, with a standard deviation of 0.075 watts.

a) If the bulbs are sold in a 6 pack. What is the probability that the average wattage of the bulbs in a 6 pack is under 7.63 watts?

b) What is the wattage that only 5% of bulbs will use below?

c) What percent of the new bulbs will use over 8 watts?

3) A community is installing wind turbines. One of them generates a mean of 8042 watts of power, with a standard deviation of 396.5.

a) What is the probability that one turbine will average less than 8143.5 watts?

b) What is the number of watts that one turbine will produce more than 75% of the time?

c) What is the probability that a set of 10 turbines produce a total of less than 80570 watts?