Figure 4.25 shows the probability density function of a triangle distribution T(a,b) with endpoints a and (a)

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Figure 4.25 shows the probability density function of a triangle distribution T(a,b) with endpoints a and
(a) What is the height of the probability density function at (a + b)/2?
(b) If the random variable X has a T(a, b) distribution, what is P(X < a/4 + 3b/4)?
(c) What is the variance of a T(a, b) distribution?
(d)
Calculate the cumulative distribution function of a T(a, b) distribution.
Distribution
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