## Sample Test

True/False

1. a) Probabilities can never be greater than 1 or less than
0.

b) The sum of probabilities for all experimental outcomes equals
1.

c) The sum of the probabilites of the experimental outcomes
in an event must equal 1

d) If two events are independent, they must be mutally exclusive.

Multiple choice

The following event probabilites fo a statistical experiment
are utilized in questions 2-4.

P(A)= .60 P(B)= .40
P(A intersect B) =.25
2. P(AUB) is closest to

a. .65

b. .72

c. .79

d. .82

3. P(A|B) is closest to

a. .60

b. .67

c. .74

d. .81

4. P(A^c) is closest to

a. .50

b. .60

c. .70

d. .80

5. Give the conditions for a binomial situation and the setting
for a geometric distribution.

6. In which of the following games of chance would you be
willing to assume independence of X and Y in making a probability
model? Explain you answer in each case.

a. In blackjack, you are dealt two cards and examine the total
points X on the cards (face cards count 10 points). You can choose
to be dealt another card and compete based on the total points
Y on all three cards.

b. In craps, the betting is based on successive rolls of two
dice. X is the sum of the faces on the first roll, and Y the sum
of the faces on the next roll.

7. Consider a binomial experiment with two trials and p = .4.

a. Draw a tree diagram showing this as a two-trial experiment

b. Compute the probability of one success f(1).

c. Compute f(0).

d. Compute f(2).

e. Find the probability of at least one success.

f. Find the expected value (mean) and standard deviation.

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