Figure 4.25 shows the probability density function of a
Chapter 4, Problem 4.8.5(choose chapter or problem)
Figure 4.25 shows the probability density function of a triangle distribution T(a,b) with endpoints a and b. (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.
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