MILESTONE 3 RETAKE GUIDE
Southern New Hampshire University
Actual Questions & Verified Answers with Rationales
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,6/6/22, 5:59 AM Sophia :: Welcome
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1
Which of the following is an example of a false negative?
Test results confirm that a woman is not pregnant.
Test results confirm that a woman is pregnant.
Test results indicate that a woman is not pregnant when she is.
Test results indicate that a woman is pregnant when she is not.
RATIONALE
Since the test results indicate negatively, showing that the woman is not pregnant when in fact she is pregnant, this is a false negative.
CONCEPT
False Positives/False Negatives
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2
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, 6/6/22, 5:59 AM Sophia :: Welcome
Eric is randomly drawing cards from a deck of 52. He first draws a red card, places it back in the deck, shuffles the deck, and then draws another card.
What is the probability of drawing a red card, placing it back in the deck, and drawing another red card? Answer choices are in the form of a percentage,
rounded to the nearest whole number.
4%
22%
13%
25%
RATIONALE
Since Eric puts the card back and re-shuffles, the two events (first draw and second draw) are independent of each other. To find the probability of red on the first draw
and second draw, we can use the following formula:
Note that the probability of drawing a red card is or for each event.
CONCEPT
"And" Probability for Independent Events
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3
Kendra was trying to decide which type of frozen yogurt to restock based on popularity: flavors with chocolate or flavors without chocolate. After studying the data, she
noticed that chocolate flavors sold best on the weekdays and on the weekends, but not best overall.
Which paradox has Kendra encountered?
Simpson's Paradox
Benford's Law
False Negative
False Positive
RATIONALE
This is an example of Simpson's paradox, which is when the trend overall is not the same that is examined in smaller groups. Since the sale of chocolate flavors is larger
on the weekends, but this trend changes when looking at sales overall, this is a reversal of the trend.
CONCEPT
Paradoxes
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4
A bag contains 8 red marbles, 7 blue marbles, and 6 green marbles. Adam randomly picks out a marble from the bag.
What is the theoretical probability that Adam will pick a blue marble from the bag?
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