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1. Properties of the uniform, normal, and exponential distributions Aa Aa Suppos

ID: 3056447 • Letter: 1

Question

1. Properties of the uniform, normal, and exponential distributions Aa Aa Suppose that x1 is a uniformly distributed random variable, x2 is a normally distributed random variable, and x3 is an exponentially distributed random variable. For each of the following statements, indicate whether it applies to x1, X2, and/or x3. Check all that apply. X1 x2 X3 (uniform) (normal (exponential) x is the uncertain time or space interval between consecutive events in a Poisson process. The probability that x assumes a value in an interval is the same whether or not the endpoints of the interval are included. The area under the graph of the probability density function to the right of the mean equals 0.5.

Explanation / Answer

x is uncertain time or space interval.......... ------- exponential

probability that x asumes a value in an interval is same weather or not end points of interval are included

------- uniform ; normal ; exponential

area ubder the graph.......... uniform ; normal