54.
Outline as an algorithm (paragraph form) or in diagram form a
randomized experimental design for this study.
55.
Use the random digit table starting at line
125
to carry out the
randomization required by your design and report the result.
Joey is interested in investigating so-called hot streaks in foul
shooting among basketball players.
He’s a fan of Carla, who has
been making approximately 80% of her free throws.
Specifically
Joey wants to use simulation methods to determine Carla’s
longest run of baskets on average, for 20 consecutive free throws.
56.
Describe a correspondence between random digits from a
table of random digits and outcomes.
57.
What will constitute one repetition in this simulation?
58.
Starting with line
101
in the random digit table, carry out 10
repetitions and record the longest run for each repetition.
59.
What is the mean run length for the 10 repetitions?
Semester 1 Review
9

Chapter 6
Suppose you toss a coin and roll a die.
60.
Use a principle you’ve learned to determine how many outcomes
there are.
61.
List the outcomes in the sample space.
62.
Find the probability of getting a head and an even number.
63.
Find the probability of getting 1 head.
64.
Find the probability of getting a 1, 2, or 3 on the die.
65.
Suppose a person was having two surgeries performed at the same
time.
If the chances of success for surgery A are 85%, and the chances
of success for surgery B are 90%, what are the chances that both will
fail?
66.
Suppose that you have torn a tendon and are facing surgery to
repair it.
The orthopedic surgeon explains the risks to you.
Infection occurs in 3% of such operations, the repair fails in
14%, and both infection and failure occur together in 1%.
What percent of these operations succeed and are free from
infection?
67.
Parking for students at Central High School is very limited,
and those who arrive late have to park illegally and take their
chances at getting a ticket.
Joey has determined that the
probability that he has to park illegally and that he gets a
parking ticket is .07.
He has kept data from last year and
found that because of his perpetual tardiness, the probability
that he will have to park illegally is .25.
Suppose that he
arrived late once again this morning and had to park in a no-
parking zone.
Find the probability that Joey will get a
parking ticket.
68.
Two cards are dealt. one after the other, from a shuffled 52-
card deck.
Why is it wrong to say that the probability of
getting two red cards is (1/2)(1/2) = 1/4?
What is the correct
probability of this event?
Semester 1 Review
10

Chapter 7
The probabilities that a customer selects 1, 2, 3, 4, or 5 items at a
convenience store are 0.32, 0.12, 0.23, 0.18, and 0.15, respectively.
69.
Construct a probability distribution (table) for the data, and draw a
probability distribution histogram.
70.
Find P(X > 3.5).
71.
Find P(1.0 < X < 3.0).
72.
Find P(X < 5).
A certain probability density function is made up of two straight line
segments.
The first segment begins at the origin and goes to the point
(1, 1).
The second segment goes from (1, 1) to the point (X, 1).

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