PROBABILITY DISTRIBUTIONS
(Worksheet)
1.
Determine if a uniform, binomial, or hypergeometric distribution would be the best model for
each of the following experiments. Explain your reasoning.
a)
b)
c)
d)
2.
Suppose 4% of spy gadgets off the ISPY production line have flaws. Inspector Gadget
randomly selects 4 spy gadgets for testing.
a)
b)
3.
the committee will be comprised of 2 teachers and 3 students;
the committee will be comprised of at least 3 teachers.
A multiple choice trivia quiz has ten questions, each with four possible answers. One student
simply guesses at each answer.
a)
b)
c)
5.
Show the probability distribution for the number of flawed gadgets in the sample space.
Determine the expected number of flawed gadgets in this sample.
A five member committee will be selected from a pool of 5 teachers and 10 students.
Determine the probability that:
a)
b)
4.
counting the number of hearts in a hand of five cards dealt from a well-shuffled deck;
asking all students in a class whether they prefer cola or ginger ale;
selecting the winning ticket in a lottery;
predicting the expected number of heads when flipping a coin 100 times.
Determine the probability of the student getting only one or two correct answers.
Determine the probability of the student getting more than half the questions correct.
Determine the expected number of correct questions.
Consider a simple game in which a single die is rolled. If an even number is rolled, the player
gains that number of points. If an odd number is rolled, the player loses that number of
points. Determine the expected number of points in the game.
ANSWERSANSWERSANSWERS
1.a) hypergeometric
2.a)
# of
flawed
gadgets (x)
0
1
2
3
4
3.a) 0.3996
4.a) 0.469
5.
0.5 points
b) binomial
c) uniform
b) 0.16 gadgets
P(x)
0.849
0.142
0.0088
0.00025
0.00000256
b) 0.168
b) 0.0197
c) 2.5 questions
d) binomial