Practice Problems Stat 150



STAT212

Practice Problems

1. In an attitudinal survey on strict gun-control legislation administered to 800 U.S. adults, the following results were obtained:

| |In favor |Against |

|Shot a gun |75 |200 |

|Never shot a gun |425 |100 |

If one of the 800 adults is chosen at random, determine each of the following probabilities:

a. P(in favor) =

b. P(shot a gun and against) =

c. P(against | never shot a gun) =

2. 30% percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students, 40% go on to college. Of the 70% who do not face a disciplinary action, 60% go on to college. Given that a randomly selected student goes on to college, what is the probability that he or she faced a disciplinary action?

3. Two dice are to be rolled. Let

A - the sum of the two dice is an even number

B- the sum of the two dice is 7

a. P(A) =

b. P(B) =

c. P(A or B) =

4. A card is to be selected at random from a deck of cards. Let

A - Drawing a spade

B - Drawing a face card

a. P(A) =

b. P(B) =

c. P(A and B) =

d. P(A or B) =

e. P(B|A) =

f. Are events A and B mutually exclusive?

g. Are events A and B independent?

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