In: Statistics and Probability
Let X be a continuous random variable having a normal probability distribution with mean µ = 210 and standard deviation σ = 15.
(a) Draw a sketch of the density function of X.
(b) Find a value x∗ which cuts left tail of area 0.25 .
(c) Find a value y∗ which cuts right tail of area 0.30.
(d) Find a and b such that p(a ≤ X ≤ b) = 0.78.