Concept explainers
(a)
To find: The probability of nonoccurrence of
(a)
Answer to Problem 20E
Solution: The probability of complementary event of
Explanation of Solution
The nonoccurrence of event
So
So, the probability that
(b)
To find: The probability that all threetosses result in the same outcome.
(b)
Answer to Problem 20E
Solution: The probability of obtaining similar outcomes is 0.25, and is obtained by the help of
Explanation of Solution
Calculation:
If a coin is tossed threetimes, then there are a total of
So
(c)
To find: The probability of obtaining atleast one head and atleast one tail.
(c)
Answer to Problem 20E
Solution: The probability of at least one head and at least one tail is 0.75 and is obtained by complement rule of probability.
Explanation of Solution
Calculation:
The events favorable to getting at least 1 head and at least one tail is
The probability is obtained as
(d)
To find: If the events
(d)
Answer to Problem 20E
Solution: The provided events are not disjoint and the property of the probability theory that probability can never exceed one is used.
Explanation of Solution
Calculation:
The probability of events
Now, by the addition theorem of probability
If events
So
Since the probability of any event can never be more than 1, hence
(e)
To explain: If the probability of an event A can be −0.01.
(e)
Answer to Problem 20E
Solution: The provided scenario is not possible and the property of the probability theory that the probability can never be less than 0 is used.
Explanation of Solution
According to the provided information, the event
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Chapter 4 Solutions
LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access)
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