A continuous probability distribution is given by a, Applied Statistics

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A continuous probability distribution is given by a

A continuous probability distribution is given by a parabola, y=f(x), for a < x < 2b -a. The minimum of the parabola is at 0.5 = f(b).

a. Find the equation of the parabola in terms of a and b.

b. Find the probabilities:

i. P( a < x < b)

ii. P( x > 2b - a/2)

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