Posted: September 13th, 2017
Chapter 4: Probability Assignment
Project description
Chapter 4: Probability Assignment Instructions: Due Date: 1:30pm on Feb. 18th, 2015 This assignment is to be handed in the Chris Hockey Assignments Drop Box located
near Room East 201 no later than above-noted Due Date and Time. Please note that, LATE OR IMPROPERLY DEPOSITED ASSIGNMENTS WILL NOT BE GRADED. Please print clearly! I
cannot mark what I cannot read! Please print your name at the top of each page. Staples would be nice. You must show ALL steps and logic in your answers! Instructions
on rounding: do NOT use rounded values in calculations; show ALL unrounded answers; and ONLY round final answers when indicated by the question.
1. A first, second and third prize are being drawn from a raffle of 250 tickets. What is the total number of possible outcomes? What is the probability of winning one
of the three prizes? 2. The local Family Restaurant has a daily dinner special in which the customer may choose one appetizer, one entree and one dessert from a list
of 4 appetizers, 5 entrees and 6 desserts. How many different dinner specials are possible? 3. Six (6) jurors are to be selected for a civil trial from a room of 50
potential jurors. In how many different ways can the jury be formed? 4. Determine the total number of possible five-card hands that can be drawn from a deck of 52
cards. Hint: Consider if the order in which you receive the cards matters. 5. A personalized license plate in Ontario consists of a graphic symbol followed by 3
letters followed by 3 numbers. If there are 36 different graphics symbols available, how many personalized license plates are possible? 6. A board of directors
consists of six men and eight women. A four-member search committee is to be chosen at random to recommend a new company president. What is the probability that all
four members of the search committee will be men? What is the probability of at least one woman being on the committee? 7. A fair pair of dice is thrown, what is the
probability of rolling a 4 or an 11? Hint: If you are not sure, list all possible outcomes for the two dice and count. 8. You have just purchased a box containing 25
light bulbs, three of which are defective. What is the probability that the first two light bulbs removed from the box will be defective?
Page 1 of 2
9. The manufacturers of a new electronic tablet surveyed 250 customers and obtained the following age and gender data in the table shown below. If a customer is
randomly selected from this group, use this table to determine the following probabilities:
GENDER
AGE
Less than 30 years
(30 to 45) years
More than 45 years
Total
Male 80 30 21 Female 50 60 9 Total
a) The customer is more than 45 years of age? b) They are male and less than 30 years of age? c) The customer is female or less than 30 years of age? d) The customer
is male given that he is (30 to 45) years old? e) If two people are randomly selected from the group, what is the probability that they are both female
Instructions:
Due Date: 1:30pm on Feb. 18th, 2015
• This assignment is to be handed in the “Chris Hockey Assignments Drop Box” located near Room East 201 no later than above-noted Due Date and Time. Please note that,
LATE OR IMPROPERLY DEPOSITED ASSIGNMENTS WILL NOT BE GRADED.
• Please print clearly! I cannot mark what I cannot read!
• Please print your name at the top of each page. Staples would be nice.
• You must show ALL steps and logic in your answers!
• Instructions on rounding: do NOT use rounded values in calculations; show ALL unrounded answers; and ONLY round final answers when indicated by the question.
1. A first, second and third prize are being drawn from a raffle of 250 tickets. What is the total number of possible outcomes? What is the probability of winning one
of the three prizes?
2. The local Family Restaurant has a daily dinner special in which the customer may choose one appetizer, one entree and one dessert from a list of 4 appetizers, 5
entrees and 6 desserts. How many different dinner specials are possible?
3. Six (6) jurors are to be selected for a civil trial from a room of 50 potential jurors. In how many different ways can the jury be formed?
4. Determine the total number of possible five-card hands that can be drawn from a deck of 52 cards. Hint: Consider if the order in which you receive the cards
matters.
5. A personalized license plate in Ontario consists of a graphic symbol followed by 3 letters followed by 3 numbers. If there are 36 different graphics symbols
available, how many personalized license plates are possible?
6. A board of directors consists of six men and eight women. A four-member search committee is to be chosen at random to recommend a new company president. What is the
probability that all four members of the search committee will be men? What is the probability of at least one woman being on the committee?
7. A fair pair of dice is thrown, what is the probability of rolling a 4 or an 11? Hint: If you are not sure, list all possible outcomes for the two dice and count.
8. You have just purchased a box containing 25 light bulbs, three of which are defective. What is the probability that the first two light bulbs removed from the box
will be defective?
Page 1 of 2
9. The manufacturers of a new electronic tablet surveyed 250 customers and obtained the following age and gender data in the table shown below. If a customer is
randomly selected from this group, use this table to determine the following probabilities:
GENDER
AGE
Less than 30 years
(30 to 45) years
More than 45 years
Total
Male
80
30
21
Female
50
60
9
Total
a) The customer is more than 45 years of age?
b) They are male and less than 30 years of age?
c) The customer is female or less than 30 years of age?
d) The customer is male given that he is (30 to 45) years old?
e) If two people are randomly selected from the group, what is the probability that they are both female?
Page 2 of 2
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