INTRODUCTION TO PROBABILITY AND
STATISTICS FINAL PAPER TESTED
QUESTIONS WITH VERIFIED ANSWERS
COMPLETE STUDY SHEET
●● •60% of all the games were at-home games. Denote this by H(the
remaining were away games)
•25% of all games were wins. Denote this by W(the remaining were
losses).
•20% of all games were at-home wins.
Of the at-home games, a class is interested in finding what proportion
were wins.
What needs to be determined, to determine the percent of the at-home
games that were wins?
Answer: P(W I H)
●● A study of Dalmatians found the following:
31% of all dalmatians have Blue eyes
38% of all dalmatians are deaf
22% of all Dalmatians are blue-eyed and deaf. Based on the results of
the study is having blue-eyed independent of being deaf?
Answer: No, because 0.31×0.38 is not equal to 0.22.
,●● A study of Dalmatians found the following:
31% of all dalmatians have Blue eyes
38% of all dalmatians are deaf
42% of blue-eyed dalmatians are deaf.
What is the probability that a randomly chosen dalmatian has blue eyes
and his deaf?
Answer: 0.38×0.42 = 0.1302
●● In a certain population, 8% of males have had a kidney stone, while
only 2% of females have had a kidney stone. A medical researcher
randomly selects one male and one female from the population.
Let a represent the event "the selected male has had a kidney stone. "
Let B represent the event "the selected female has had a kidney stone."
Which statement is true about the two events?
Answer: A and B are independent.
●● Two cards are drawn at random without replacement from the
standard deck of 52 playing cards.
What is the probability that the suit of the second card is hearts, given
that the First Card is a black card?
Answer: 13/51
, ●● In a random sample of 60 middle school students the following data
were collected:
Grade Male Female Total
Sixth 12 13 25
Seventh 8 7 15
Eighth 10 10 20
Total 30 30 60
If a male student is selected at random from the sample, what is the
probability that he is a sixth grader?
Answer: 12/30
●● In a random sample of 100 college students, 60 were females 65 or
under 21 years of age and 15 mails were 21 years of age or older. A
student is selected at random from the sample.
What is the probability that a female student of age 21 or older is
selected?
Answer: 0.20
●● With use of a specified prescription drug, there is a 20% chance of
experiencing nausea and a 50% chance of experiencing dizziness. There
is also a 15% chance of experiencing both side effects. What is the
probability of experiencing neither of the side effects?
STATISTICS FINAL PAPER TESTED
QUESTIONS WITH VERIFIED ANSWERS
COMPLETE STUDY SHEET
●● •60% of all the games were at-home games. Denote this by H(the
remaining were away games)
•25% of all games were wins. Denote this by W(the remaining were
losses).
•20% of all games were at-home wins.
Of the at-home games, a class is interested in finding what proportion
were wins.
What needs to be determined, to determine the percent of the at-home
games that were wins?
Answer: P(W I H)
●● A study of Dalmatians found the following:
31% of all dalmatians have Blue eyes
38% of all dalmatians are deaf
22% of all Dalmatians are blue-eyed and deaf. Based on the results of
the study is having blue-eyed independent of being deaf?
Answer: No, because 0.31×0.38 is not equal to 0.22.
,●● A study of Dalmatians found the following:
31% of all dalmatians have Blue eyes
38% of all dalmatians are deaf
42% of blue-eyed dalmatians are deaf.
What is the probability that a randomly chosen dalmatian has blue eyes
and his deaf?
Answer: 0.38×0.42 = 0.1302
●● In a certain population, 8% of males have had a kidney stone, while
only 2% of females have had a kidney stone. A medical researcher
randomly selects one male and one female from the population.
Let a represent the event "the selected male has had a kidney stone. "
Let B represent the event "the selected female has had a kidney stone."
Which statement is true about the two events?
Answer: A and B are independent.
●● Two cards are drawn at random without replacement from the
standard deck of 52 playing cards.
What is the probability that the suit of the second card is hearts, given
that the First Card is a black card?
Answer: 13/51
, ●● In a random sample of 60 middle school students the following data
were collected:
Grade Male Female Total
Sixth 12 13 25
Seventh 8 7 15
Eighth 10 10 20
Total 30 30 60
If a male student is selected at random from the sample, what is the
probability that he is a sixth grader?
Answer: 12/30
●● In a random sample of 100 college students, 60 were females 65 or
under 21 years of age and 15 mails were 21 years of age or older. A
student is selected at random from the sample.
What is the probability that a female student of age 21 or older is
selected?
Answer: 0.20
●● With use of a specified prescription drug, there is a 20% chance of
experiencing nausea and a 50% chance of experiencing dizziness. There
is also a 15% chance of experiencing both side effects. What is the
probability of experiencing neither of the side effects?
