Chapters 11 Group Competency
Evaluate each. Show work!
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8 P3
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10 C7
Expand the binomial. (Simplify.)
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(y + 2)
5
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Solve each.
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In a mock trial, how many different ways can the prosecutor, defendant, and witness be
selected from a team with 12 members?
From 5 teachers and 15 students, how many ways can a committee of 2 teachers and 3
students be formed?
If there are 31 flavors at Baskin Robbins, how many different ways can you order a double with
2 different flavors if you don’t care which scoop is on top?
When you are choosing a new car if there are 6 different models, 8 possible colors, 4 different
packages of options, how many different cars might you select?
Chapters 11 Group Competency
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Find each probability. Show your work.
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8.
You are having quintuplets. (Yipes!) What is the probability that . . .
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a) all 5 are girls
b) exactly 4 are girls
c) at least 4 are girls
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10.
When picking 2 marbles in succession from a bag containing 3 red, 4 blue, and 5 green, what
is the probability of getting a red and then a green. . .
a)
with replacement
b)
without replacement
In an algebra class of 30 students (13 male and 17 female), 22 are juniors and 8 are
sophomores. Ten of the juniors are female. If a student is randomly selected, what is the
probability that the student is a junior or a female? (Show your work.)
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11.
Find the mean, median, and mode of the test scores below.
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Test Scores:
94,
99,
64,
90,
86,
90,
87,
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Mean =
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Median =
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Mode =
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89,
84
Now use the same data to find the range, the upper and lower quartiles, and the interquartile
range. Then, make a box and whiskers plot.
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Range =
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Upper Quartile =
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Lower Quartile =
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Interquartile Range =
Chapters 11 Group Competency
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An outlier may be found by determining whether a value is less than Q1 – 1.5(IQR) or greater
than Q3 + 1.5(IQR). Use this method to identify any outliers in the data above. Show work.
Outliers? =
Now, use the same data to find the standard deviation by hand. Show your work below.
The number of hours of TV watched weekly by 5000 families in Michigan is normally
distributed. The mean number of hours is 21 hours and the standard deviation is 6 hours.
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a) What percent of the families watch between 15 and 27 hours of TV per week?
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b) What percent of the families watch more than 33 hours of TV per week?
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c) How many families watch less than 21 hours per week?
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Challenge
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A shipment of 15 computers contains 2 defective units. A retail outlet has ordered 4 from this
shipment. What is the probability that. . .
a) all four are good?
b) three are good and one is defective?
c) at least three are good?