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Solved: Consider the endothermic reactions in Exercise
Chapter 2, Problem 113E(choose chapter or problem)
Consider the endothermic reactions in Exercise 2-50. Let 𝐴 denote the event that a reaction's i nal temperature is 271 K or less. Let 𝐵 denote the event that the heat absorbed is above target. Determine the following probabilities.
(a) \(P(A \backslash B)\) (b) \(P\left(A^{\prime} \backslash B\right)\) (c) \(P\left(A \backslash B^{\prime}\right)\) (d) \(P(B \backslash A)\)
Equation transcription:
Text transcription:
P(A backslash B)
P(A^{prime} backslash B)
P(A backslash B^{\prime})
P(B backslash A)
Questions & Answers
QUESTION:
Consider the endothermic reactions in Exercise 2-50. Let 𝐴 denote the event that a reaction's i nal temperature is 271 K or less. Let 𝐵 denote the event that the heat absorbed is above target. Determine the following probabilities.
(a) \(P(A \backslash B)\) (b) \(P\left(A^{\prime} \backslash B\right)\) (c) \(P\left(A \backslash B^{\prime}\right)\) (d) \(P(B \backslash A)\)
Equation transcription:
Text transcription:
P(A backslash B)
P(A^{prime} backslash B)
P(A backslash B^{\prime})
P(B backslash A)
ANSWER:Solution:
Step 1 of 3:
The summarizes of 204 endothermic reactions involving sodium bicarbonate are given.
Let A denote the event that a reactions final temperature is 271k or less, and B be the event that the heat absorbed is above target.
Final temperature conditions |
Heat Absorbed (cal) |
Total |
|
Below target |
Above target |
||
266k |
12 |
40 |
52 |
271k |
44 |
16 |
60 |
274k |
56 |
36 |
92 |
Total |
112 |
92 |
204 |
We have to find the following probabilities.
- P(A/B)
-
P(
-
P(A/
)
- P(B/A)