Concept explainers
(a)
Whether
(a)
Answer to Problem 75E
Thus for mutually exclusive event is
Explanation of Solution
Given information:
Let
Calculation:
Consider two events
Event
If
Thus for mutually exclusive event is
But the probability
Thus, the events
The diagram showing the events
(b)
Whether
(b)
Answer to Problem 75E
The sum of probability of the complementary events
Explanation of Solution
Given information:
Let
Calculation:
The formula of the complement of the event is
Therefore, the complement of
And
Thus, the sum of probability of the complementary events
Thus, the events
The diagram showing the events
(c)
To find: the possible range of
(c)
Answer to Problem 75E
The range of
Explanation of Solution
Given information:
Let
Calculation:
Note that the probability of an event
That is
Thus,
Since the probability of an event is always smaller than 1, therefore
Therefore, the range of
Chapter 8 Solutions
Precalculus with Limits: A Graphing Approach
- 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