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WorksheetsPS Unit 8 Test
Total questions: 60
Worksheet time: 2hrs 39mins
Which of the following is not a random variable?
The heights of randomly-selected buildings in New York City.
The suit of a card randomly-selected from a 52-card deck.
The number of children in randomly-selected households in the United States.
The amount of money won (or lost) by next person to walk out of a casino in Las Vegas.
Identify whether the experiment involves a discrete or a continuous random variable.
Rotating a spinner that has 4 equally divided parts: blue, green, yellow, and red
Discrete Random Variable
Continuous Random Variable
Identify whether the experiment involves a discrete or a continuous random variable.
Measuring the distance travelled by different cars using 1-liter of gasoline
Discrete Random Variable
Continuous Random Variable
Identify whether the experiment involves a discrete or a continuous random variable.
Measuring the length of time it takes before a dolphin surfaces in the ocean to breath
Discrete Random Variable
Continuous Random Variable
How many goals have you scored this year?
continuous
discrete
How long does the bus to Birchington take?
continuous
discrete
What is the temperature of this fire?
continuous
discrete
How much does a Mars Bar cost?
continuous
discrete
How many CDs do you own?
continuous
discrete
How much water is there in this bottle?
continuous
discrete
How fast can your car go?
continuous
discrete
Is this a probability distribution?
No, the sum of p(x) does not equal 1.
Yes, all p(x) are between 0 and 1.
No, all p(x) are not between 0 and 1.
Yes, the sum p(x) is 1.
Which descriptions are true for a Binomial distribution?
Each trial must be classified as a success or a failure.
The number of successes in the trials is counted.
All trials are dependent on each other.
The probability for each outcome must be 0.5
There can be only two possible outcomes.
Which one of the following is a discrete random variable?
Sam's height
Sam weight
Time Sam's runs the 110 m hurdles
Amount of Sam's brothers and sisters
X 0 1 2 3 4 5
P(X) 0.24 0.37 0.20 0.11 0.05 0.03
What is the probability that a randomly chosen household has at least two cars?
What does the x stand for in the binomial probability formula?
Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing.
What’s the probability that the fifth chip you test is the first bad one you find?
Binomial Distribution
Geometric Distribution
About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects.
c) What’s the probability that the first colorblind man found will be the sixth person checked?
Binomial Distribution
Geometric Distribution
A wildlife biologist examines frogs for a genetic trait they suspect may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs.
The biologist collects and examines a dozen frogs. If the frequency of the trait has not changed, what’s the probability they find the trait in none of the 12 frogs?
Binomial Distribution
Geometric Distribution
When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times? Is this an example of binomial or geometric?
binomial
geometric
If we want to calculate the probability of rolling a 6 for the first time on the 6th roll of a die, would we use the geometric or the binomial distribution?
geometric
binomial
If you want a certain number of successes in a set amount of trials, use the ????? model.
geometric
binomial
normal
calculato
If you want to know how many trials you will need before your first success, use the ????? model.
Geometric
Binomial
Normal
Calculator
What's the expected number of cars in a randomly selected American household?
1.00
1.75
1.84
2.00
A marketing survey compiled data on the number of personal computers in households. If X = the number of computers in a randomly-selected household, and we omit the rare cases of more than 5 computers, then X has the given distribution. The expected value of X is E(X) =
0.40
1.00
1.45
1.66
2.50
You roll a standard die. You win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. What is the expected value of a single roll?
$3
$18
$9
$2
Choose an American household at random. What is the expected number of cars for that household?
(a)
In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household? HINT: A Probability table may be helpful.
(a)
Suppose you buy a lottery ticket for $6. Out of 1000 tickets, the prize for the one winning is to be $800. What is the expected profit/loss for playing this game?
$800
-$6.50
-$6
-$5.20
Find the mean (expected value) of the probability distribution.
(a)
If the expected value is negative, are you expected to profit or lose money?
Profit
Lose
A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. Do you expect to win or lose (on average)? How much?
lose an average of $5.50
lose an average of $1.50
win an average of $2.00
lose an average of $10.00
The table above shows the number of cell phones per household in a small town. Find the mean round to the nearest hundredth.
2.80
2.93
0.10
0.14
Find the expected value.
0.4
0.6
0
1.1
3.58%
5.46%
22.67%
100%
You are a terrible driver. Whenever you drive, there is a 70% chance that you will run over a pedestrian. If you go for a drive 15 times, what is the probability that you will run over no more than 6 pedestrians?
0.985
0.015
0.988
0.012
If you want a certain number of successes in a set amount of trials, use the ???? method.
Geometric
Binomial
Normal
Poisson
If you want to know how many trials you will need before your first success, use the ???? model.
Geometric
Binomial
Normal
Poisson
0.316
0.282
0.001
0.620
The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood?
0.088
0.697
0.214
0.303
When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times?
0.00983
0.167
0.25
0.0000756
The local Chipotle is running a promotion where each large drink cup has a large pull-off tab that reveals a prize or the message "Try again next time." Chipotle claims that 25% of the cups have tabs with a prize. You visit Chipotle to try to win. What is the probability that you win on your third visit?
0.859
0.141
0.420
0.580
What is the probability of getting exactly 6 questions correct on this test?
0.551%
0.00551%
5.51%
0.0258%
