Sophia Introduction to Statistics Unit 3 Milestone
Question 1
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The average number of tunnel construction projects that take place at any
one time in a certain state is 3.
Find the probability of exactly five tunnel construction projects taking place in this state.
0.023
0.048
0.10
0.020
Question 2
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Kate was trying to decide which type of frozen pizza to restock based on
popularity: pepperoni pizza or sausage pizza. After studying the data, she
noticed that pepperoni flavors sold best on the weekdays and on the
weekends, but not best overall.
Which paradox has Kate encountered?
False Negative
Benford's Law
False Positive
Simpson's Paradox
Question 3
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Using the Venn Diagram below, what is the conditional probability of event Q occurring,
assuming that event P has already happened [P (Q|P)]?
,
0.75
0.73
0.05
0.55
Question 4
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Sarah throws a fair die multiple times, recording the total number of "2"s she
throws and then calculating the proportion of "2"s she has thrown so far after
each throw. She then constructs a graph to visualize her results.
Which of the following statements is FALSE?
The theoretical probability of getting a 2 is 0.167 for each throw.
This is an example of the law of large numbers.
The probability distribution for the possible number of outcomes changes as
the total number of throws increases.
The relative frequency of "2"s thrown changes as Sarah throws the die more.
Question 5
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Which of the following is an example of a false positive?
Test results confirm that a patient does not have cancer.
Test results indicate that a patient has cancer when, in fact, he does not.
, Test results indicate that a patient does not have cancer when, in fact, he
does.
Test results confirm that a patient has cancer.
Question 6
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Zhi and her friends moved on to the card tables at the casino. Zhi wanted to
figure out the probability of drawing a face card or an Ace.
Choose the correct probability of drawing a face card or an Ace. Answer choices are in
the form of a percentage, rounded to the nearest whole number.
31%
4%
25%
8%
Question 7
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Which of the following situations describes a continuous distribution?
A probability distribution showing the number of vaccines given to babies
during their first year of life
A probability distribution showing the amount of births in a hospital in a
month
A probability distribution showing the average number of days mothers spent
in the hospital
A probability distribution showing the weights of newborns
Question 8
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Paul went to a blackjack table at the casino. At the table, the dealer has just
shuffled a standard deck of 52 cards.
Question 1
Mark this question
The average number of tunnel construction projects that take place at any
one time in a certain state is 3.
Find the probability of exactly five tunnel construction projects taking place in this state.
0.023
0.048
0.10
0.020
Question 2
Mark this question
Kate was trying to decide which type of frozen pizza to restock based on
popularity: pepperoni pizza or sausage pizza. After studying the data, she
noticed that pepperoni flavors sold best on the weekdays and on the
weekends, but not best overall.
Which paradox has Kate encountered?
False Negative
Benford's Law
False Positive
Simpson's Paradox
Question 3
Mark this question
Using the Venn Diagram below, what is the conditional probability of event Q occurring,
assuming that event P has already happened [P (Q|P)]?
,
0.75
0.73
0.05
0.55
Question 4
Mark this question
Sarah throws a fair die multiple times, recording the total number of "2"s she
throws and then calculating the proportion of "2"s she has thrown so far after
each throw. She then constructs a graph to visualize her results.
Which of the following statements is FALSE?
The theoretical probability of getting a 2 is 0.167 for each throw.
This is an example of the law of large numbers.
The probability distribution for the possible number of outcomes changes as
the total number of throws increases.
The relative frequency of "2"s thrown changes as Sarah throws the die more.
Question 5
Mark this question
Which of the following is an example of a false positive?
Test results confirm that a patient does not have cancer.
Test results indicate that a patient has cancer when, in fact, he does not.
, Test results indicate that a patient does not have cancer when, in fact, he
does.
Test results confirm that a patient has cancer.
Question 6
Mark this question
Zhi and her friends moved on to the card tables at the casino. Zhi wanted to
figure out the probability of drawing a face card or an Ace.
Choose the correct probability of drawing a face card or an Ace. Answer choices are in
the form of a percentage, rounded to the nearest whole number.
31%
4%
25%
8%
Question 7
Mark this question
Which of the following situations describes a continuous distribution?
A probability distribution showing the number of vaccines given to babies
during their first year of life
A probability distribution showing the amount of births in a hospital in a
month
A probability distribution showing the average number of days mothers spent
in the hospital
A probability distribution showing the weights of newborns
Question 8
Mark this question
Paul went to a blackjack table at the casino. At the table, the dealer has just
shuffled a standard deck of 52 cards.
