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

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) The probability that x assumes a value in an interval is the same whether or not the endpoints of the interval are included. smaller values of x are more likely than larger values of x. The probability distribution of x has two parameters.

Explanation / Answer

The 1st statement applies to all of the three since they are all continuous distributions so including or omitting end points do not affect the probability of a interval.The 2nd statement applies to none of them since the probability of any value is equal to zero for all three distributions as they are continuous.

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