Questions about probability and statistics
1) Empirical
probabilities are:
A) based on
the normal curve
B) deeply
rooted in probability
C) scores
from a sample
D) essentially
percentages based on a large number of observations
2) Roughly
_________________ percent of the total area under the normal curve rests
between the mean and one standard deviation above.
3) Which of the following is true probabilities?
A) a probability varies from 0 to 1.0
B) a 0
probability implies something is possible
C) a 1.0
probability implies something is impossible
D) none of
the above
4) The
probability of drawing a “four” from a standard deck of 52 cards is:
A) .13
B) .077
C) .019
D) .19
5) The
normal curve is:
A) positively
skewed
B) applicable
to all real life research situations
C) a
theoretical idea
D) all the
above
6) The probability of you correctly guessing the answer to
this question is:
A) .20
B) .50
C) .25
D) .30
7) A number whose Z-score is equal to zero is equal to the mean
A) true
B) false
8) A Z-score
tells nothing about the distance of a score from a mean
a) true
b) false
Questions 9-10 refer to the fallowing. Suppose that 43% of
inmates in state prisons have psychiatric illness. What is the probability of
that:
9) a
particular prisoner does not suffer from a psychiatric illness
10) five
prisoners do not suffer from a psychiatric illness
Questions 11-15 refer to the following: Suppose that you
purchase a lottery ticket that contains four members and a letter such as: 9 7
3 6 Q
11) What is
the probability that you match the second digit?
12) What is the probability that you match the first digit?
13) What is
the probability that you do not match the third digit?
14) What is
the probability that you match the firs, second, and third digits?
15) What is
the probability that you match the letter?
16) The
average snowfall in Ottawa, Canada in 98 inches per year, with a standard
deviation of 25 inches. The average snowfall in Boston, Massachusetts is 44
inches, with a standard deviation of 17 inches. In 1997, Ottawa received 119
inches of snowfall, while Boston recorded 62 inches. Assuming both
distributions are normal, calculate using the Table of Proportions of Area
under the Normal Curve.
A) Which city
had the worse winter of 1997 (relative to its norm)?
B) The
percentile rank of Ottawa’s 1997 snowfall.
C) The
percentile rank of Boston’s 1997 snowfall
D) If
Boston’s 1996 snowfall was 33 inches, what percentage greater was the snowfall
of the winter of 1997?
E) A Z-score
is a specific case’s distance from the mean in __________ units?
17) Drawing one card at random from a standard deck of 52
cars, what is the probability of drawing a joker?
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