Heights of ten year old boys (5th graders) follow an approximate normal distribution with mean u=55.5 inches and standard deviation σ=2.7 inches:
(a) According to this normal distribution, what proportion of 10 -year-old boys are between 4 ft 4.5 in and 5 ft 6.5 in tall (between 52.5 inches and 66.5 inches)?
(b) A parent says his 10 -year-old son is in the 98th percentile in height. How tall is this boy? Give answer in inches