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Score 21/27
You passed this Milestone
21 questions were answered correctly.
UNIT 3 — MILESTONE 3
6 questions were answered incorrectly.
1
Which of the following is a property of binomial distributions?
All of the observations made are dependent of each other.
There are exactly four possible outcomes for each trial.
The expected value is equal to the number of successes in the experiment.
The variable of interest is the total number of successes or failures for a given number of observations.
RATIONALE
Recall that for the binomial distribution we are concerned with an event occurring (successes) or not occurring (failures) in a given number of trails (n).
CONCEPT
Binomial Distribution
2
A survey asked 1,000 people which magazine they preferred, given three choices. The table below breaks the votes down by magazine and age group.
Age Below 40 Age 40 and Above
The National Journal 104 200
Newsday 120 230
The Month 240 106
If a survey is selected at random, what is the probability that the person voted for "Newsday" and is also age 40 or older? Answer choices are rounded to the
hundredths place.
0.34
0.54
0.23
0.66
RATIONALE
If we want the probability of people who voted for "Newsday" and are also age 40 and over, we just need to look at the box that is associated with both categories, or 230.
To calculate the probability, we can use the following formula:
, CONCEPT
Two-Way Tables/Contingency Tables
3
Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a King of clubs or an Ace of clubs.
Choose the correct probability of drawing a King of clubs or an Ace of clubs. Answer choices are in the form of a percentage, rounded to the nearest whole
number.
8%
4%
2%
6%
RATIONALE
Since the two events, drawing a King of Clubs and drawing an Ace of Clubs, are non-overlapping, we can use the following formula:
CONCEPT
"Either/Or" Probability for Non-Overlapping Events
4
Which of the following situations describes a discrete distribution?
A probability distribution showing the weights of newborns.
A probability distribution showing the heights of children in a first grade class.
A probability distribution of the quantity of babies in the intensive care unit.
A probability distribution showing the average time it takes for children to walk to school.
RATIONALE
A distribution is discrete if the outcomes we are measuring can only take on a limited number of values. The number of babies in an intensive care unit can be 0, 1, 2, and
so on, which are a limited set of values.
CONCEPT
Probability Distribution
5
What is the probability of NOT drawing a Queen from a standard deck of 52 cards?
Score 21/27
You passed this Milestone
21 questions were answered correctly.
UNIT 3 — MILESTONE 3
6 questions were answered incorrectly.
1
Which of the following is a property of binomial distributions?
All of the observations made are dependent of each other.
There are exactly four possible outcomes for each trial.
The expected value is equal to the number of successes in the experiment.
The variable of interest is the total number of successes or failures for a given number of observations.
RATIONALE
Recall that for the binomial distribution we are concerned with an event occurring (successes) or not occurring (failures) in a given number of trails (n).
CONCEPT
Binomial Distribution
2
A survey asked 1,000 people which magazine they preferred, given three choices. The table below breaks the votes down by magazine and age group.
Age Below 40 Age 40 and Above
The National Journal 104 200
Newsday 120 230
The Month 240 106
If a survey is selected at random, what is the probability that the person voted for "Newsday" and is also age 40 or older? Answer choices are rounded to the
hundredths place.
0.34
0.54
0.23
0.66
RATIONALE
If we want the probability of people who voted for "Newsday" and are also age 40 and over, we just need to look at the box that is associated with both categories, or 230.
To calculate the probability, we can use the following formula:
, CONCEPT
Two-Way Tables/Contingency Tables
3
Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a King of clubs or an Ace of clubs.
Choose the correct probability of drawing a King of clubs or an Ace of clubs. Answer choices are in the form of a percentage, rounded to the nearest whole
number.
8%
4%
2%
6%
RATIONALE
Since the two events, drawing a King of Clubs and drawing an Ace of Clubs, are non-overlapping, we can use the following formula:
CONCEPT
"Either/Or" Probability for Non-Overlapping Events
4
Which of the following situations describes a discrete distribution?
A probability distribution showing the weights of newborns.
A probability distribution showing the heights of children in a first grade class.
A probability distribution of the quantity of babies in the intensive care unit.
A probability distribution showing the average time it takes for children to walk to school.
RATIONALE
A distribution is discrete if the outcomes we are measuring can only take on a limited number of values. The number of babies in an intensive care unit can be 0, 1, 2, and
so on, which are a limited set of values.
CONCEPT
Probability Distribution
5
What is the probability of NOT drawing a Queen from a standard deck of 52 cards?
