Question
MATH399 Applied Managerial Statistics
Week 3 Assignment Contingency Tables for Probability
QuestionUse the completed contingency table to find the
probability that an employee prefers the bus given that they are a
seasoned employee. Express your answer as a decimal rounded to two
decimal places.
QuestionThe following incomplete contingency table shows a
random sample of 120 employees and the routes they prefer. Complete
the table.
QuestionFill in the following contingency table and find the
number of students who both do not read mysteries AND do not read
comics.
StudentsreadmysteriesdonotreadmysteriesTotalreadcomics13donotreadcomics53Total4242
QuestionFill in the following contingency table and find the
number of students who both do not go to the beach AND do not go to
the mountains.
StudentsgotothebeachdonotgotothebeachTotalgotothemountains32donotgotothemountains32Total5427
QuestionFill in the following contingency table and find the
number of students who both watch comedies AND watch dramas.
StudentswatchcomediesdonotwatchcomediesTotalwatchdramas34donotwatchdramas10Total3967
QuestionComplete the following contingency table and find the
number of students who both do not play sports AND do not play an
instrument.
Students
Play an
instrument Do
not play an
instrument
Total
Play
sports
19
47
Do not play
sports
29
Total
46
QuestionA group of 150 students in a high school were asked
if they prefer texting or calling.
The following table shows approximate numbers.
Male Female Total
Texting
22
58 80
Calling
8
62 70
Total
30
120 150
According to the table, what is the probability that a
randomly chosen student prefers calling, given that they are male?
Give your answer as a fraction in simplest form.
QuestionA group of 155 seniors at a local university were
asked if they took an economics class and if they had an
internship.
The following table shows the results.
Economics
Class
No Economics Class
Total
Internship
30
68 98
No Internship
16
41 57
Total
46
109 155
According to the table, what is the probability that a
randomly chosen senior does not have an internship given that they
took an economics class? Give your answer as a fraction in simplest
form.
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