Two events are mutually exclusive if ________.

a. They are independent

b. they both cannot occur together.

C. the occurrence of one slightly alters the probability of the occurrence of the other.

D. the probability of their joint occurrence equals one.

A frequency distribution is to _____ as a binomial distribution is to______

a. concrete ; discrete variables

b. frequencies; probabilities

c. easy; hard

d. wide range; small range

Captain Kirk and Mr. Spock are engaged in a 3-D backgammon playoff, a game employing 6 dice. Kirk asks Spock the probability of rolling the dice and observing 6 sixes. Assume the dice are not biased and cannot affect each other. Spock's correct a priori response is ____.

A. "insufficient data Captain"

b. (1/6) ^{6}

c. 1/36

d (1/36) ^{6}

If A and B are mutually exclusive and exhaustive, then p(A and B) = ______.

A. 1

B. p(A) + p(B)

c. p(A) + p(B) - p(A and B)

d. 0

The symbol H_{1} stands for

a. null hypothesis

b. alpha

c. beta

d. alternative hypothesis

An alpha level of .05 indicates that ______

a. the probability of a Type II error is .05

B. the probability of a correct decision is .05

C. 95% of the time, chance is operating

d. if Ho is true, the probability of falsely rejecting it is limited to .05

Short Answer

1. Is it correct to conclude by accepting the H_{1} when the results of the experiment are significant?
Explain.

2. What does a p value < .05 signify and what is our conclusion when have this?

3. Explain how sampling without replacement may also mean that events are dependent. Provide
an example.

A pop machine with no selection buttons on the front, contains 12 cans of Diet Coke, 10 cans of
Coke, and 7 cans of Pepsi. You randomly select 3 cans to purchase. What is the probability that
of the three cans, exactly one is Coke and one is Pepsi? (you are going to keep all three cans) (8)

It is estimated that 45% of students leave town for Spring Break. 10 students are randomly
sampled and surveyed about Spring Break plans. What is the probability that more than half of
the sample is leaving town for Spring Break? (8)

see # 12 on p 238 of your text. (a b and c only) But for subject 1, make Bar 1 = 40 and Bar 2 = 20.