Which of the following is true of the triangular distribution?

A) The expected value of the triangular distribution is given by (a + b) /2.
B) The triangular distribution is a bounded distribution.
C) The triangular distribution has only one parameter λ.
D) All the outcomes in the distribution have the same chance of occurrence.

Question

Kelly Deputy · Accepted Answer

Final Answer : B, Explanation :  The triangular distribution is indeed a bounded distribution, meaning it has defined minimum and maximum values (often denoted as a and b, respectively, with a mode c somewhere between them). This characteristic differentiates it from unbounded distributions like the normal distribution. Options A, C, and D are incorrect: A) The expected value (mean) of a triangular distribution is given by (a + b + c) / 3, not (a + b) / 2. C) The triangular distribution has three parameters (a, b, and c), not just one (λ). D) The probability of outcomes in a triangular distribution varies, with the peak probability at the mode (c); it does not provide the same chance of occurrence for all outcomes.

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