1. CHECK THE FOLLOWING BINOMIAL SITUATIONS TO SEE IF THEY CAN BE APPROXIMATED BY THE NORMAL DISTRIBUTION.

A. N = 10, P = 0.3, Q = 0.7

B. N = 400, P = 0.16, Q = 0.84

C. N = 30, P = 0.79, Q = 0.21

2. A FITNESS CENTER COLLECTS DATA ON ITS MEMBERS AND DISCOVERS THE MEAN NUMBER OF VISITS BY ITS MEMBERS PER YEAR IS 46.4 WITH A STANDARD DEVIATION OF 13.7. WHAT IS THE PROBABILITY A MEMBER WILL COME LESS THAN 10 TIMES IN A YEAR?

3. A MANUFACTURER OF MAGIC MARKERS HAS 2800 MARKERS RANDOMLY CHOSEN FROM A PRODUCTION LINE AND TESTED FOR TOXIC SCENTS. A MARKER HAS A 94% CHANCE OF HAVING A NON-TOXIC SCENT. USE THE NORMAL APPROXIMATION, IF POSSIBLE, TO DETERMINE THE PROBABILITY THERE WILL BE MORE THAN 150 TOXIC-SMELLING MARKERS.

4. KAREN'S COLLECTION OF COMPACT DISC COLLECTION HAS A MEAN NUMBER OF SONGS OF 13.1 WITH A STANDARD DEVIATION OF 1.2 SONGS. WHAT IS THE PROBABILITY OF KAREN SELECTING A COMPACT DISC AT RANDOM FROM HER COLLECTION THAT HAS EXACTLY 12 SONGS?

5. A BOWLER BELIEVES HE BOWLS A BETTER SCORE DURING HIS SECOND GAME THAN HIS FIRST GAME 74% OF THE TIME. ASSUMING HE IS RIGHT, WHAT IS THE PROBABILITY THAT OUT OF HIS NEXT 25 PAIRS OF GAMES, HE WILL BE CORRECT BETWEEN 16 AND 20 TIMES? INTERPRET THE RANGE OF VALUES TO BE BETWEEN 16 AND 20, NOT INCLUDING THE 16 AND 20

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