STAT200 WEEK 1-6 LATEST EXAM 2025/2026
SOLVED PENN STATE UNIVERSITY ACCURATE
QUIZ 1-6 GRADED A+
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
B) disjoint (mutually exclusive) events.
According to the Penn State Fact Book for Enrollment by Ethnicity Fall 2005 [University
Park], roughly 4 out of 5 students enrolled are White. What is the probability that a
student who was enrolled last Fall at University Park was non-White?
B) 20%
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?
A) 0.1167
A soft drink company holds a contest in which a prize may be revealed on the inside of
the bottle cap. The probability that each bottle cap reveals a prize is 0.2 and winning is
independent from one bottle to the next. What is the probability that a customer must
open three or more bottles before winning a prize?
,C) (0.8)(0.8) = 0.64
Three playing cards, without replacement, are chosen at random from a standard 52-card
deck. What is the probability of getting an Ace, a King and a Queen in that order?
A) 8/16575
For the given situation, decide if the random variable described is a discrete random
variable or a continuous random variable. Random variable X = the weight (in pounds) a
dieter will lose after following a two week weight loss program.
B) Continuous random variable
Which one of these variables is a continuous random variable?
A) The time it takes a randomly selected student to complete an exam.
B) The number of tattoos a randomly selected person has.
C) The number of women taller than 68 inches in a random sample of 5 women.
D) The number of correct guesses on a multiple choice test.
A) The time it takes a randomly selected student to complete an exam.
Suppose that a student needs to buy 10 books for her history course. The number of
books that she will be able to find used is a binomial random variable X with n = 10 and p
= 0.30. In other words, the probability that she will find any given book used is 0.30, and
is independent from one book to the next. What is the probability that she will find no
more than 2 used books?
A) 0.382
, Which of the following is an example of a binomial random variable?
A) The number of games your favorite baseball team will win this coming season.
B) The number of questions you would get correct on a 15 question true-false test if you
randomly guessed on all questions.
C) The number of siblings a randomly selected student has.
D) The number of coins a randomly selected student is carrying.
B) The number of questions you would get correct on a 15 question true-false test if you
randomly guessed on all questions.
Sara is a frequent business traveler. For security purposes, 10% of all people boarding
airplanes are randomly selected for additional screening just prior to boarding. What is
the probability that the first time Sara is selected for screening is on her third flight?
D) (0.9)(0.9)(0.1)
Decide if this study is experimental or observational.
Observational
A national research firm was studying the amount of money spent by Americans on
coffee on a weekly basis in various regions of the United States. They took a random
sample of 5,000 Americans from each region and asked how much they spent on coffee
each week. They found that on average individuals from the northeast spend more
money on coffee than individuals from any other region of the United States. We cannot
say that living in the northeast causes people to spend more money on coffee (i.e., we
cannot make a cause-and-effect conclusion) because
B) this study lacks random assignment.
SOLVED PENN STATE UNIVERSITY ACCURATE
QUIZ 1-6 GRADED A+
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
B) disjoint (mutually exclusive) events.
According to the Penn State Fact Book for Enrollment by Ethnicity Fall 2005 [University
Park], roughly 4 out of 5 students enrolled are White. What is the probability that a
student who was enrolled last Fall at University Park was non-White?
B) 20%
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?
A) 0.1167
A soft drink company holds a contest in which a prize may be revealed on the inside of
the bottle cap. The probability that each bottle cap reveals a prize is 0.2 and winning is
independent from one bottle to the next. What is the probability that a customer must
open three or more bottles before winning a prize?
,C) (0.8)(0.8) = 0.64
Three playing cards, without replacement, are chosen at random from a standard 52-card
deck. What is the probability of getting an Ace, a King and a Queen in that order?
A) 8/16575
For the given situation, decide if the random variable described is a discrete random
variable or a continuous random variable. Random variable X = the weight (in pounds) a
dieter will lose after following a two week weight loss program.
B) Continuous random variable
Which one of these variables is a continuous random variable?
A) The time it takes a randomly selected student to complete an exam.
B) The number of tattoos a randomly selected person has.
C) The number of women taller than 68 inches in a random sample of 5 women.
D) The number of correct guesses on a multiple choice test.
A) The time it takes a randomly selected student to complete an exam.
Suppose that a student needs to buy 10 books for her history course. The number of
books that she will be able to find used is a binomial random variable X with n = 10 and p
= 0.30. In other words, the probability that she will find any given book used is 0.30, and
is independent from one book to the next. What is the probability that she will find no
more than 2 used books?
A) 0.382
, Which of the following is an example of a binomial random variable?
A) The number of games your favorite baseball team will win this coming season.
B) The number of questions you would get correct on a 15 question true-false test if you
randomly guessed on all questions.
C) The number of siblings a randomly selected student has.
D) The number of coins a randomly selected student is carrying.
B) The number of questions you would get correct on a 15 question true-false test if you
randomly guessed on all questions.
Sara is a frequent business traveler. For security purposes, 10% of all people boarding
airplanes are randomly selected for additional screening just prior to boarding. What is
the probability that the first time Sara is selected for screening is on her third flight?
D) (0.9)(0.9)(0.1)
Decide if this study is experimental or observational.
Observational
A national research firm was studying the amount of money spent by Americans on
coffee on a weekly basis in various regions of the United States. They took a random
sample of 5,000 Americans from each region and asked how much they spent on coffee
each week. They found that on average individuals from the northeast spend more
money on coffee than individuals from any other region of the United States. We cannot
say that living in the northeast causes people to spend more money on coffee (i.e., we
cannot make a cause-and-effect conclusion) because
B) this study lacks random assignment.
