Question
MATH399 Applied Managerial Statistics
Week 3 Assignment Counting Principles
QuestionYou are in a 12-member panel. If two people from the
panel are selected to represent the panel, what is the probability
you won’t be selected?
•
Round your answer to two decimal places.
QuestionThere are 11 people in a group. Four of them are
selected to be on a panel. If John is in the group, what is the
probability he won’t be selected to be on the panel?
•
Round your answer to three decimal places.
QuestionThe residents of a city rank the six cell phone
companies in their area. What is the probability that you will get
all six companies ranked in the correct order?
•
Write your answer as an exact fraction which is reduced as much as
possible.
QuestionYou pick a letter at random from a 26-letter
alphabet. If you pick five letters, with repeating letters allowed,
what is the probability to select all A’s?
•
Give your answer as a fraction.
QuestionWrite the first three terms of the sequence whose
general term is an=1n!(n−1)!.
QuestionWrite the first three terms of the sequence whose
general term is an=(n−1)!(n+2)!.
QuestionThere are 22 students, from which 6 people will be
selected to be on a panel. If Allen and Joe are 2 of the 22
students, then what is the probability that neither will be
selected to be on the panel?
•
Round your answer to three decimal places.
QuestionA combination lock requires a user to select three
numbers to unlock it, where all three numbers are between 1 to 30,
inclusive, and numbers can be used more than once. What is the
probability someone can guess the correct combination given 100
attempts?
•
Write your answer as a fraction.
QuestionThe local library releases the top 6 best written
books of the year and you decide to read all of them. If you choose
to read the top 3 books in order of best to least, at random, what
is the probability that you read the top 3 books in the incorrect
order?
•
Write your answer as an exact fraction which is reduced as much as
possible.
QuestionWrite the first three terms of the sequence whose
general term is an=(2n)!.
QuestionAn elementary school art class teacher plans to
display artwork next to the door of each of the classrooms in the
school. Each classroom door will only have one piece of artwork
displayed, and the school has 35 such doors. If the teacher has 22
oil paintings and 17 sketches, what is the probability that 19 oil
paintings and 16 sketches are chosen to be displayed?
(3919)(3916)(3935)
(2219)(1716)(3935)
(19!)(16!)35!
(22!)(17!)(3935)
(2219)(1716)35!
QuestionWrite the first three terms of the sequence whose
general term is an=(3n)!.
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