Question

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2. A continuous uniform random variable defined between 0 and 12 has a variance of:

Select one:

a. 12

b. 24

c. 144

d. 6

5.A probability plot shows:

Select one:

a. Percentile values and best fit distribution.

b. Percentile values of a proposed distribution and the sample percentages.

c. Percentile values of a proposed distribution and the corresponding measurements.

d. Sample percentages and percentile values.

7. Consider a joint probability function for discrete random variables X and Y. To get the marginal probability function for X:

Select one:

a. For each value y, we sum the joint probability function over all the values of x.

b. We set x equal to 1.

c. For each value x, we sum the joint probability function over all the values of y.

d. We set y equal to 1.

8. Consider a joint probability function for discrete random variables X and Y. To get the marginal probability function for X:

Select one:

a. For each value y, we sum the joint probability function over all the values of x.

b. We set x equal to 1.

c. For each value x, we sum the joint probability function over all the values of y.

d. We set y equal to 1.

9. For two random variables X and Y, if larger values of X generally occur with smaller values of Y and vice versa:

Select one:

a. The covariance will be 1.

b. The two will have a positive covariance.

c. The covariance between the two variables is 0.

d. The covariance between the two variables will be negative.

10. How do we know that two random variables are independent:

Select one:

a. The joint PDF is larger in magnitude than the product of marginal PDFs everywhere.

b. The joint PDF is the product of marginal PDFs.

c. The marginal PDF of one random variable is one minus the PDF of another.

d. The joint PDF is the sum of the marginal PDFs.

11. If the slope of the CDF at a point is 0;

Select one:

a. The PDF of the random variable at the point is 1.

b. The PDF of the random variable at the point is infinity.

c. The PDF of the random variable at the point is also 0.

d. The PDF of the random variable cannot be determined with this information.

Answer 1

(2) a. Variance of uniform(0,12) distribution = = 12

(5) b. Percentile values of a proposed distribution and the sample percentages.

(7) c. For each value x, we sum the joint probability function over all the values of y

(8) c. For each value x, we sum the joint probability function over all the values of y.

(9) d. The covariance between the two variables will be negative.

(10) b. The joint PDF is the product of marginal PDFs.

(11) d. The PDF of the random variable cannot be determined with this information. (if continuous)

c. The PDF of the random variable at the point is also 0. (if discrete)