S: Statistics and Probability

Statistics and Probability

S.CPConditional Probability & the Rules of Probability S.ICMaking Inferences and Justifying Conclusions S.IDInterpreting Categorical and Quantitative Data S.MDUsing Probability to Make Decisions

Example Problems

How many unique ways are there to arrange the letters in the word

\text{GOALS}

?

A school district wants opinions on a new app. From all schools, officials randomly select 5 schools and survey every teacher who works at those 5 schools.

What type of sample is this: simple random sample, stratified random sample, cluster random sample, or systematic random sample?

Tom took 4 exams. His mean was

91

and his standard deviation was

0

. What scores did Tom receive on his exams?

Bob's Bagel Shop has estimated the following probabilities for the number of bagels a randomly-selected customer buys when he or she enters the shop.

No. of Bagels	Probability
1	0.5
2	0.1
3	0.1
6	0.1
12	0.2

Bob sells bagels for

\$0.80

each, or

\$9.00

for a dozen. If

X

is the amount of money Bob collects from a randomly-selected customer,
a. Find the expected value of

X

.
b. Interpret the expected value of

X

.

Let

X = \{1, 3, 5\}

and

Y = \{2, 3, 4\}

.
What is

X \cup Y

?

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