When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that $24\%$ of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select $45$ of the dragon eggs to incubate. Consider all the possible samples of $45$ dragon eggs.What is the mean number of yellow eggs in samples of $45$ eggs? $($that is the same as asking for the expected value of the number of yellow eggs$)($Give answer correct to at least one decimal place.$)$mean $=$ What is the standard deviation in the number of yellow eggs in samples of size $45?($Give answer correct to at least one decimal place.$)$standard deviation $=$ What is the variance in the number of yellow eggs in samples of size $45?($Remember to calculate the answer using at least $5$ decimal places, then give answer correct to at least one decimal place.$)$