Concept explainers
a.
Find the expected value of the ticket.
a.
Answer to Problem 16PS
Explanation of Solution
Calculation:
Here, we will find the value of a ticket.
As,
Five numbers can be chosen from
One number can be chosen from
As,
Now, one value of the outcome is the winning amount of
Here, we know that the expected value
Hence, the expected value of the ticket is approximately
b.
Find the expected value of each turn.
b.
Answer to Problem 16PS
Explanation of Solution
Calculation:
Here, we will find the expected value of each turn.
Now, the values for each dice are:
So, the probability of each turn of two dice thrown together is:
Now, we will consider the values where number of each turn on each dice is the same. So, the numbers of possible values are:
Here, your score is the product of the dice when numbers are the same. Therefore, the values are:
Thus, the probability of complement that is turns of the dice do not produce the same number
Here, we know that the expected value
Now, the number of turns on an average to score
Hence, the expected value of each turn is approximately
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning