Question

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.0 and 59.0 minutes. Find the probability that a given class period runs between 51.5 and 51.75 minutes

Answer 1

if \(X\) is uniform (\(a,b\)) then
for \(a<c<d<b\)

\[P(c<X<d)=\frac{d-c}{b-a}\]