Assume random variable X follows a normal distribution with mean $50$ and standard deviation of $10.$

a$)$ Use the Empirical rule to find$(40<<60).$ Write as a probability,not as a percentage.

b$)$ Use the Empirical rule to find$(40<<50).$ Write as a probability,not as a percentage.

c$)$ Use the Empirical rule to find$(30<<50).$Write as a probability, not as a percentage.

d$)$ Use the Empirical rule to find$80)"$ tabindex$="0"$ ctxtmenu$\_$counter$="10"$ style$=$"line$-$height: $0$; color: rgb$(0,0,0)$; font$-$family: "Trebuchet MS$",$ Arial, Helvetica, sans$-$serif; font$-$style: normal; font$-$variant$-$ligatures: normal; font$-$variant$-$caps: normal; font$-$weight: $400$; letter$-$spacing: normal; orphans: $2$; text$-$align: start; text$-$indent: $0$px; text$-$transform: none; widows: $2$; word$-$spacing: $0$px; $-$webkit$-$text$-$stroke$-$width: $0$px; white$-$space: normal; background$-$color: rgb$(255,255,255)$; text$-$decoration$-$thickness: initial; text$-$decoration$-$style: initial; text$-$decoration$-$color: initial; font$-$size: $17\mathrm{.}1936$px; position: relative;"$>(>80).$Write as a probability, not as a percentage.

e$)$ Use the Empirical rule to find$(20<<60).$ Write as a probability, not as a percentage