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#1 Prob/Stat – Hustle
FAMAT State Convention 2015
#3 Prob/Stat – Hustle
FAMAT State Convention 2015
Find the mean of the following data:
Given: P(A)=.7, P(B)=.4, P(A|B)=
47, 62, 34, 56, 48, 16, 79, 50
5
,
8
find P(A'B') .


Answer : _____________
Answer : _____________
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#2 Prob/Stat – Hustle
FAMAT State Convention 2015
#4 Prob/Stat – Hustle
FAMAT State Convention 2015
Find the standard deviation of the
following sample data:
Using the Empirical percentages for
Normal distributions, find the probability
that a randomly selected student is between
1 and 2 standard deviations above the mean.
4, 8, 5, 6, 7
Answer : _____________
Answer : _____________
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#5 Prob/Stat – Hustle
FAMAT State Convention 2015
#7 Prob/Stat – Hustle
FAMAT State Convention 2015
Max is becoming a very good tennis
player. His first serve percentage is up
to 70%. Max goes to practice and hits
100 first serves. Find the standard
deviation of this situation.
Given a standard deck of cards (no jokers),
a randomly selected card is drawn. Find
the probability that the card is a prime
number.
Answer : _____________
Answer : _____________
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#6 Prob/Stat – Hustle
FAMAT State Convention 2015
#8 Prob/Stat – Hustle
FAMAT State Convention 2015
The following is statistics about two
sets of data:
Given two independent variables X and Y,
X 12, sX  3, Y  28, sY  5
x  40, sx  4, y  60, sy  6, r  .8
find the standard deviation of (3X – 2Y).

Find the equation of the line of best fit
in slope intercept form.

Answer : _____________
Answer : _____________
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#9 Prob/Stat – Hustle
FAMAT State Convention 2015
#11 Prob/Stat – Hustle
FAMAT State Convention 2015
Find the mean of the following
Distribution:
A fair coin is tossed 5 times. Find the
probability of getting exactly 3 heads.
X
P(X)
10 14 16 18 20
.2 .3 .1 .2 .2
Answer : _____________
Answer : _____________
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#10 Prob/Stat – Hustle
FAMAT State Convention 2015
#12 Prob/Stat – Hustle
FAMAT State Convention 2015
A fair die is rolled 96 times. The results
are as follows:
Find the median of the following data:
47, 62, 34, 56, 48, 16, 79, 50
X
# of times
1 2 3 4 5 6
12 18 15 10 20 21
Find the 2 value associated with a goodness
of fit test.

Answer : _____________
Answer : _____________
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#13 Prob/Stat – Hustle
FAMAT State Convention 2015
#15 Prob/Stat – Hustle
FAMAT State Convention 2015
John is rolling a fair die. He rolls the
die until he gets a six. What is the
probability that it takes more than 3 rolls
to see the first six?
Sameer has taken four tests in his Calculus
class. His results so far have been
78, 85, 81 and 90. Find the value of the
fifth test so that Sameer has an overall
average on his five tests of at least 86.
Answer : _____________
Answer : _____________
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#14 Prob/Stat – Hustle
FAMAT State Convention 2015
#16 Prob/Stat – Hustle
FAMAT State Convention 2015
Mr. Jones is trying to determine when
students like him more. He conducts two
simple random samples. 100 students are
sampled in his morning classes and 100
in his afternoon classes. 50 in the morning
and 60 in the afternoon like his class. Mr.
Jones runs a proportion test to determine if
his afternoon students like him more. Find
the standard deviation of this test.
Mr. Rain gave a test and it formed a normal
distribution with a mean of 75 and a standard
deviation of 5. Bill’s z-score was 2.2 and
Ted’s z-score was 0.6. Find the positive
difference between Bill and Ted’s raw scores.
Answer : _____________
Answer : _____________
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#17 Prob/Stat – Hustle
FAMAT State Convention 2015
#19Prob/Stat – Hustle
FAMAT State Convention 2015
30% of students at Jones High are male.
80% of the male students and 40% of
the female students go to football games.
Given that a student goes to a football game,
find the probability that the student is male.
Ann, Bill and Carol are working
independently to solve a problem. If
their respective probabilities that they will
1 2
3
solve it are , , and , what is the
3 5
7
probability that the problem will be solved?
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Answer : _____________
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Answer : _____________
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#18 Prob/Stat – Hustle
FAMAT State Convention 2015
#20 Prob/Stat – Hustle
FAMAT State Convention 2015
Given the following information:
Ms. Lambert is comparing her Calculus
classes’ test results. Her first block class
of 25 students had a mean of 75 and a standard
deviation of 5. Her second block class of
36 students had a mean of 80 and a standard
deviation of 6. Ms. Lambert runs a two sample
t test to determine if the average of second
block is higher than first block. Find the value
of the test statistic. Assume the test statistic is
positive.
6
x  60, sx  4, y  80, sy  8, y  x  8
5
find the coefficient of determination.

Answer : _____________
Answer : _____________
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#21 Prob/Stat – Hustle
FAMAT State Convention 2015
#23 Prob/Stat – Hustle
FAMAT State Convention 2015
There are 100 members in Jones High’s
Mu Alpha Theta chapter. 50 of them
like football and 40 like tennis. If 20
members like neither sport, how many
members like both sports?
Given the following: P(A) = .3, P(B) = .5
and events A and B are independent, find
the following: P(A  B)  P(A'B') .

Answer : _____________
Answer : _____________
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#22 Prob/Stat – Hustle
FAMAT State Convention 2015
#24 Prob/Stat – Hustle
FAMAT State Convention 2015
There is a linear relationship between
Ms. Lynch’s midterm exam (x) and
final exam (y). The equation is
y = 3x – 50. Jennifer earned a 50 on
the midterm and 112 on the final exam.
Find the value of Jennifer’s residual.
Mr. Frost’s Math class takes a test. The
mean and standard deviation for the test
is 70 and 5. He wants to transform the data
so that the mean is 80 and the standard
deviation is 2. The transformation equation
is y = ax + b. Find the value of (b – a).
Answer : _____________
Answer : _____________
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#25 Prob/Stat – Hustle
FAMAT State Convention 2015
Find the interquartile range of the
following data:
47, 62, 34, 56, 48, 16, 79, 50
Answer : _____________
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