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Question 3
Learning Check 1
State whether each of the following is an appropriate probability,
(a)
(b)
© (d)
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Ask by Carter Hall. in the United States
Mar 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

(a) 0.88 is a valid probability.
(b) -0.26 is not a valid probability.
© 1.45 is not a valid probability.
(d) 1.00 is a valid probability.

Solution

Solution:
A probability value must satisfy the inequality
(a)
Since , is an appropriate probability.
(b)
Since , is not an appropriate probability.
©
Since , is not an appropriate probability.
(d)
Since , is an appropriate probability.

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Extra Insights

The only appropriate probabilities from the given options are and .
Probabilities must fall between 0 and 1, inclusive, so and are not valid probabilities as they fall outside this range.
So the answers are:
(a) Yes, appropriate probability.
(b) No, not appropriate.
© No, not appropriate.
(d) Yes, appropriate probability.

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