A short quiz has two true-false questions and one multiple-choice question with four
choices. A student guesses at each question. Assuming the choices are all equally
likely, what is the probability that the student gets all three correct
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1/6
A student doing an internship at a large research firm collected the following data,
representing all of the studies the firm had conducted over the past 3 years. What is
the probability that the study used randomization, if we already know that the study
was a retrospective observational study?
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, 0.2333
Suppose two different states each pick a two-digit lottery number between 00 and 99
(for a 100 possible numbers). What is the probability that both states pick the number
13?
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1/10,000
Elizabeth has just put 4 new spark plugs in her car. For each spark plug, the
probability that it will fail in the next 50,000 miles is 1/100 (which is 0.01), and is
independent from one spark plug to the next. What is the probability that none of the
spark plugs will fail in the next 50,000 miles?
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(0.99)(0.99)(0.99)(0.99)
A statistics class has 4 teaching assistants (TAs): three female assistants (Lauren, Rona,
and Leila) and one male assistant (Josh). Each TA teaches one discussion section. A
student picks a discussion section. The two events W = {the TA is a woman} and M =
{the TA is a man} are
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choices. A student guesses at each question. Assuming the choices are all equally
likely, what is the probability that the student gets all three correct
Give this one a try later!
1/6
A student doing an internship at a large research firm collected the following data,
representing all of the studies the firm had conducted over the past 3 years. What is
the probability that the study used randomization, if we already know that the study
was a retrospective observational study?
Give this one a try later!
, 0.2333
Suppose two different states each pick a two-digit lottery number between 00 and 99
(for a 100 possible numbers). What is the probability that both states pick the number
13?
Give this one a try later!
1/10,000
Elizabeth has just put 4 new spark plugs in her car. For each spark plug, the
probability that it will fail in the next 50,000 miles is 1/100 (which is 0.01), and is
independent from one spark plug to the next. What is the probability that none of the
spark plugs will fail in the next 50,000 miles?
Give this one a try later!
(0.99)(0.99)(0.99)(0.99)
A statistics class has 4 teaching assistants (TAs): three female assistants (Lauren, Rona,
and Leila) and one male assistant (Josh). Each TA teaches one discussion section. A
student picks a discussion section. The two events W = {the TA is a woman} and M =
{the TA is a man} are
Give this one a try later!
