The length of the adult blue whale is normally distributed with mean µ = 100 feet and standard deviation σ = 4 feet. Find the 86th percentile for the length of the adult blue whale.

Answer 1

Needs the Z-score z such that

Prob ( Z < z ) = 0.86

Per reverse table lookup, the z-score is 0.805105479

x = z * 4 + 100

= 0.805105479 * 4 + 100

= 103.220421916