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Stells [14]
3 years ago
5

for events A and B, P(A)= 3/14 and P(B)= 1/5. Also, P(A and B)= 3/65. Are A and B independent events?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

No, A and B are not independent events

Step-by-step explanation:

Let us study the meaning independent probability  

  • Two events are independent if the result of the second event is not  affected by the result of the first event
  • If A and B are independent events, the probability of both events  is the product of the probabilities of the both events  P (A and B) = P(A) · P(B)

∵ P(A) = \frac{3}{14}

∵ P(B) = \frac{1}{5}

∴ P(A) . P(B) = \frac{3}{14} × \frac{1}{5}

∴ P(A) . P(B) = \frac{3(1)}{14(5)}

∴ P(A) . P(B) = \frac{3}{70}

∵ P(A and B) = \frac{3}{65}

∵ P(A) . P(B) = \frac{3}{70}

- The two answers are not equal

∴ P (A and B) ≠ P(A) · P(B)

- In independent events P (A and B) = P(A) · P(B)

∴ A and B are not independent events

No, A and B are not independent events

Learn more:

You can learn more about probability in brainly.com/question/13053309

#LearnwithBrainly

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ANSWER

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EXPLANATION

The given function is:

f(x) =  {x}^{2}  + 12x + 6

To write this function in vertex form;

We need to add and subtract the square of half the coefficient of x.

The coefficient of x is 12.

Half of it is 6.

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