Solution:
Let's consider the experiment 1000 times. We are given that the current is normal 98% of the time.
Therefore, the number of times, we will see a normal current
And the number of times, we will see a non-normal current
We are also given that the fuse can trip under normal conditions with probability 0.01.
Therefore, the number of times the fuse can trip under normal
conditions
And the number of times the fuse can not trip under normal
conditions
We are also given that the fuse can trip under overload conditions with probability 0.9999
Therefore, the number of times a fuse can trip under overload
conditions
And the number of times the fuse can not trip under overload
conditions
Therefore, we can express this information in below table as:
(a) What is the probability that the fuse will trip?
Answer: The probability that the fuse will trip is:
(b) If the fuse has tripped, find the conditional probability that the current was normal?
Answer: The conditional probability that the current was normal given the fuse had tripped is:
Problem 2. A fuse (or circuit breaker) can trip under normal current conditions with probability 0.01....
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can you show how the model would look like on matlab ? please
help with this question
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