Take-Home lQuiz #3 Name: BeautyBulb Corporation manufactures a light bulb whose lifespans have a normal distribution with a population mean of 300 days and a population standard deviation of 50 days. 1. If one of these light bulbs were randomly selected, what's the probability that it would last for more than 420 days? a) What were you given? \"Interval\" j \"Area under Curve" b) What T| calculator function will you be using? normalcdf/ invNorm c) Make your sketch (and make it a good one): d) Show the function you used along with the inputs you used, and of course your answer: e) State your answer as a probability (in context): f} State your answer as a proportion (in context): 2. What is the interval for the Middle 76% of the lifespans for these light bulbs? a) What were you given? \"Interval\" f \"Area under Curve" b) What T| calculator function will you be using? normalcdf/ invNorm c] Make your sketch (and make it a good one)