1 the scores on the mathematics section of the sat

Reference no: EM13608936

1. The scores on the Mathematics section of the SAT typically follow the normal curve. Suppose the average was a 510 and the standard deviation was 100.

a) If you scored a 720, in which percentile were you?

b) A friend tells you that 60% of test takers scored lower than him. What is his score?

c) What percentage of people scored between a 400 and a 500?

d) What percentage of people scored higher than a 700?

2. You draw one card from a standard 52 card deck. Let A be the event that you draw a two. Let B be the event that you draw a black face card (jack, queen, or king). Let C be the event that you draw a club.

a) Are A and B independent, mutually exclusive, both or neither?

b) Are A and C independent, mutually exclusive, both or neither?

c) Are B and C independent, mutually exclusive, both or neither?

3a. If you draw 4 cards without replacement, what is the probability that you draw no kings?

b. If you draw 4 cards without replacement, what is the probability that you draw at least one king?

c. If you draw 4 cards with replacement, what is the probability that you draw exactly three hearts?

d. If you draw 4 cards with replacement, what is the probability that you will draw at least three hearts?

Reference no: EM13608936

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