1. A plumbing contractor puts in bids on two large jobs. Let the event that the contractor wins the first contract be A and the event that the contractor wins the second contract be B. Which of the following Venn diagrams has shaded the event that the contractor wins exactly one of the contracts?

A.

B.

C.

2. A fifth grade teacher gives homework every night in both mathematics and language arts. The time to complete the mathematics homework has a mean of 30 minutes and a standard deviation of 10 minutes. The time to complete the language arts assignment has a mean of 40 minutes and a standard deviation of 12 minutes. The time to complete the mathematics and the time to complete the language arts homework has a correlation ρ = -0.3. The mean time to complete the entire homework assignment

A. is less than 70 minutes since the negative correlation tells you that more time on one assignment will be associated with less time on the second assignment.

B. is 70 minutes.

C. is greater than 70 minutes since the measurements are correlated which raises the mean regardless of the sign of the correlation.

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