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Tatiana [17]
3 years ago
7

The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.50. It is also known that P(A1 ∩ A2) = 0. Suppose P(

B | A1) = 0.20 and P(B | A2) = 0.05. If needed, round your answers to three decimal digits. (a) Are A1 and A2 mutually exclusive?
Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0

The inclusion-exclusion principle says

P(A1 ∩ A2) = P(A1) + P(A2) - P(A1 ∪ A2)

We know the probability of intersection is 0, so

P(A1) + P(A2) = P(A1 ∪ A2)

which means A1 and A2 are indeed mutually exclusive.

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A wall that is 10 feet high and 20 feet long contains one ton of bricks. How many tons should be purchased to brick a wall that
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Simplify the following expression.
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Step-by-step explanation:      

<u>Step 1: Add the numbers: 9.5 +6.2 = 15.7</u>

=8.6\left(15.7-3.5^2\right)

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=8.6\left(15.7-12.25\right)

<u>Step 2: Subtract the numbers: 15.7 - 12.25 = 3.45</u>

= 3.45X 8.6

<u>Step 3: Multiply the numbers: 8.6 × 3.45 = 29.67</u>

<u />=29.67<u />

<u />

- To solve this equation, the first step is to add the numbers 9.5 + 6.2 into the equation and it will lead to 15.7 as the number for step one.

- To solve this equation, the second step is to subtract the numbers 15.7 - 12.25 into the equation and it will lead to 3.45 as the answer.

- To solve this equation, the third step is to multiply the numbers 8.6 x 3.45 into the equation and it will lead 29.67 as the final answer for the whole equation.

Answer:      

=29.67

 

Hope this helps.

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