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Name: March 20, 2001 Score:

MATH 147

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Quiz 6

(6 pts.)

Problem 1. A statistical analysis of first year GPA's and SAT scores is taken by a university admissions office. The scatter diagram of the data is football shaped. A summary of the data is:

Average GPA = 2.0 with an SD = 0.8.

Average SAT = 1000 with an SD = 125 and r = 0.6.

Approximately what percentage of the applicants had GPA's above a 2.4?

Approximately what percentage of the applicants that scored 1075 on the SAT had GPA's above a 2.4?

(2 pts.)

Problem 2. From a standard deck of cards two cards are dealt. Find the probability that:

a. The first is the king of spades.

b. The second is the king of spades, given that the first was the queen of spades.

(2 pts.)

Problem 3. A box consists of 6 tickets. They are: a red ticket with the number 1 on it, two red tickets each with a 2, two green tickets each with a 1, and one green ticket with a 2. If one ticket is drawn from the box, are color and number independent?