(a).
To explain: Is this a valid probability function.
The probability function is not valid because the probability is not greater than
Given information:
Alrik’s gerbil cage has four compartments, A, B, C, and D. After careful observation, he estimates the proportion of time the gerbil spends in each compartment and constructs the table below.
Explanation:
The probability of occurrence of an event can never be greater than
In the given table, the sum of the probabilities is:
This is not possible in the probability function.
Hence, the probability function is not valid.
(b).
To explain: Is there a problem with Alrik’s reasoning.
Alrik might have made an error in his observations, unless a Gerbil is able to be in two compartments at once.
Given information:
Alrik’s gerbil cage has four compartments, A, B, C, and D. After careful observation, he estimates the proportion of time the gerbil spends in each compartment and constructs the table below.
Explanation:
The probability of occurrence of an event can never be greater than
In the given table, Alrik might have made an error in his observations, unless a Gerbil is able to be in two compartments at once.
Chapter 10 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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