Question: The following triangular distribution provides an approximation to the normal distribution. Line segment l1 has the equation y x/9 1/3, and segment l2 has the

The following triangular distribution provides an approximation to the normal distribution.

Line segment l1 has the equation y x/9 1/3, and segment l2 has the equation yx/9 1/3.

(-3,0) y (0,1) 12 (3.0) x

a. Find the area under the entire triangular distribution.

b. Find the area under the triangular distribution between 0 and 2.

c. Find the area under the standard normal distribution between 0 and 2.

d. Discuss the effectiveness of this “triangular”
approximation.

(-3,0) y (0,1) 12 (3.0) x

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