Question
Question 3
Learning Check 1
State whether each of the following is an appropriate probability,
(a)
(b)
©
(d)
Use the editor to format your answer I
Learning Check 1
State whether each of the following is an appropriate probability,
(a)
(b)
©
Use the editor to format your answer I
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.
Since
(b)
Since ,
is not an appropriate probability.
Since
©
Since ,
is not an appropriate probability.
Since
(d)
Since ,
is an appropriate probability.
Since
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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.
Probabilities must fall between 0 and 1, inclusive, so
So the answers are:
(a) Yes, appropriate probability.
(b) No, not appropriate.
© No, not appropriate.
(d) Yes, appropriate probability.
(a) Yes, appropriate probability.
(b) No, not appropriate.
© No, not appropriate.
(d) Yes, appropriate probability.