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hjlf
3 years ago
15

Which of the following can be determined about events A and C from the table.

Mathematics
2 answers:
Montano1993 [528]3 years ago
8 0

Answer:

Option: A is the correct answer.

       A. P(A | C) = 0.16, P(A) = 0.16, the events are independent

Step-by-step explanation:

We know that two events A and B are said to be independent if:

P(A|B)=P(A)

(

Since, we know that if A and B are two independent events then

P(A\Bigcap B)=P(A)\cdot P(B)------------(1)

and:

P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

and hence using property (1) we get:

P(A|B)=P(A)   )

from the given table we have:

P(A|C)=\dfrac{P(A\bigcap C)}{P(C)}\\\\\\P(A|C)=\dfrac{0.12}{0.75}\\\\\\P(A|C)=0.16

and also, P(A)=0.16

As P(A|C)=P(A)

     Hence, events A and C are independent.

Also we may observe that:

P(C|A)=P(C)

(

Since, from table we have:

P(C)=0.75

and

P(C|A)=\dfrac{P(A\bigcap B)}{P(A)}\\\\\\P(C|A)=\dfrac{0.12}{0.16}\\\\P(C|A)=0.75 )

Hence, events A and C are independent.

kenny6666 [7]3 years ago
5 0
The correct answer for this question is this one: "<span>C. P(C | A) = 0.75, P(C)=0.75 the events are not independent." 

</span><span>The statement that can be determined about events A and C from the table is that </span><span>P(C | A) = 0.75, P(C)=0.75 the events are not independent. Hope this helps answer your question.
</span>
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