Concept explainers
Fill in the blanks.
- a. An activity with observable results is called a/an ________.
- b. The observable results are called _____ or _____ _____.
- c. The totality of all outcomes is called a/an _____ _____.
- d. The probability of an event is a number between _____ and _____.
a.
To fill: The blank in the statement “An activity with observable results is called a/an ______” with the appropriate answer.
Answer to Problem 1CRQ
The completed statement is “An activity with observable results is called an
Explanation of Solution
Recall that, “An experiment is an activity with observable results called outcomes or the sample points”.
For example, while tossing a coin the possible outcome to land head is
Here, tossing a coin is an experiment.
Hence, “An activity with observable results is called an
b.
To fill: The blank in the statement “The observable results are called ______ or _____” with the appropriate answer.
Answer to Problem 1CRQ
The completed statement is “The observable results are called
Explanation of Solution
From part a., observe that while tossing a coin there will be a result, that is, the coin may land as head or tails.
Here, coin tossing is an experiment and head and tails are possible outcomes.
Hence, “The observable results are called
c.
To fill: The blank in the statement “The totality of all outcomes is called a/an _____” with the appropriate answer.
Answer to Problem 1CRQ
The completed statement is “The totality of all outcomes is called a
Explanation of Solution
Note that, the set of all possible outcomes of a random experiment is said to be a sample space of an experiment.
Moreover, an event is a subspace of the sample space of a random experiment.
That is, a sample space is a totality of all outcomes.
Hence, “The totality of all outcomes is called a
d.
To fill: The blank in the statement “The probability of an event is a number between ____ and _____” with the appropriate answer.
Answer to Problem 1CRQ
The completed statement is “The probability of an event is a number between
Explanation of Solution
It is known that, “The discrete probability function P with the domain
That is, the probability
Hence, “The probability of an event is a number between
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Chapter 10 Solutions
APPLIED CALCULUS FOR MGRL, LIFE, SOC SCI
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