SOPHIA STATISTICS UNIT III MILESTONE
Phil is randomly drawing cards from a deck of 52. He first draws a Queen, places it back in the deck, shuffles
the deck, and then draws another card.
What is the probability of drawing a Queen, placing it back in the deck, and drawing any face card?
Answer choices are in the form of a percentage, rounded to the nearest whole number.
31%
2%
25%
7%
RATIONALE
Since Phil 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 getting a Queen on the first draw and a face card on the second draw, we
,Note that the probability of drawing a Queen card , while the probability of drawing a face
is
can use the following formula:
card is .
CONCEPT
"And" Probability for Independent Events
I need help with this question
Which of the following situations describes a continuous distribution?
A probability distribution showing the amount of births in a hospital in a month
A probability distribution showing the number of vaccines given to babies during their first year of life
, A probability distribution showing the weights of newborns
A probability distribution showing the average number of days mothers spent in the hospital
RATIONALE
Since the weight of newborns can be an infinite number of values, such as 8 pounds, 9 ounces, etc, this would be
an example of a continuous distribution.
CONCEPT
Probability Distribution
I need help with this question
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
I need help with this question
21
Mark looked at the statistics for his favorite baseball player, Jose Bautista. Mark looked at seasons when
Bautista played 100 or more games and found that Bautista's probability of hitting a home run in a game is
0.173.
If Mark uses the normal approximation of the binomial distribution, what will be the variance of the
number of home runs Bautista is projected to hit in 100 games? Answer choices are rounded to the tenths
place.
14.3
17.3
3.8
0.8
RATIONALE
In this situation, we know:
Phil is randomly drawing cards from a deck of 52. He first draws a Queen, places it back in the deck, shuffles
the deck, and then draws another card.
What is the probability of drawing a Queen, placing it back in the deck, and drawing any face card?
Answer choices are in the form of a percentage, rounded to the nearest whole number.
31%
2%
25%
7%
RATIONALE
Since Phil 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 getting a Queen on the first draw and a face card on the second draw, we
,Note that the probability of drawing a Queen card , while the probability of drawing a face
is
can use the following formula:
card is .
CONCEPT
"And" Probability for Independent Events
I need help with this question
Which of the following situations describes a continuous distribution?
A probability distribution showing the amount of births in a hospital in a month
A probability distribution showing the number of vaccines given to babies during their first year of life
, A probability distribution showing the weights of newborns
A probability distribution showing the average number of days mothers spent in the hospital
RATIONALE
Since the weight of newborns can be an infinite number of values, such as 8 pounds, 9 ounces, etc, this would be
an example of a continuous distribution.
CONCEPT
Probability Distribution
I need help with this question
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
I need help with this question
21
Mark looked at the statistics for his favorite baseball player, Jose Bautista. Mark looked at seasons when
Bautista played 100 or more games and found that Bautista's probability of hitting a home run in a game is
0.173.
If Mark uses the normal approximation of the binomial distribution, what will be the variance of the
number of home runs Bautista is projected to hit in 100 games? Answer choices are rounded to the tenths
place.
14.3
17.3
3.8
0.8
RATIONALE
In this situation, we know:
