Claire and George are tasked with decorating Easter eggs. The amount of eggs that Claire can decorate in an hour is a random variable with = 15 and = 4. The amount of eggs that George can decorate in an hour is a random variable with = 15 and = 5. Assume the amount of eggs Claire and George decorate are independent of each other. (Round your answers to four decimal places, if needed.) (a) What is the mean for the total number of eggs they decorate in an hour? (b) What is the standard deviation for the total number of eggs they decorate in an hour? (c) Claire decides to decorate Easter eggs for one hour today and for another hour tomorrow. What is the expected value of the total number of eggs she will decorate in total? (d) Claire decides to decorate Easter eggs for one hour today and for another hour tomorrow. What is the standard deviation of the total number of eggs she will decorate in total