#453 Recall that a company’s revenue is considerably

Recall that a company’s revenue is considerably - Math

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Recall that a company’s revenue is considerably below expectation with probability 0.08, is slightly below expectation with probability 0.19, exactly meets expectation with probability 0.26, is slightly above expectation with probability 0.36, and is considerably above expectation with probability 0.11. Let A be the event that the revenue is not below expectation. Let B be the event that the revenue is not above expectation. What is the probability of the intersection of these two events? What is the probability of the union of these two events?

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Free Chegg Answer

1. Step 1 of 5

   Company’s revenue is considerably below expectation with probability is 0.08.

   Company’s revenue is slightly below expectation with probability is 0.19.

   Company’s revenue is exactly meets expectation with probability is 0.26.

   Company’s revenue is slightly above expectation with probability is 0.36.

   Company’s revenue is considerably above expectation with probability is 0.11.

2. Step 2 of 5

   Let A denotes the event that the revenue is not below expectation.

   Let B denotes the event that the revenue is not above the expectation.

3. Step 3 of 5

   The below figure shows the clear picture for the given problem:

4. Step 4 of 5

   

5. Step 5 of 5

   From the above diagram the probability of the intersection of these two events is,

   .

   From the above diagram the probability of union of the two events A and B is,

   

   Therefore, the probability of union of the two events A and B is 1.