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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