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Ymorist [56]
3 years ago
8

The probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a vid

eo game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67. Which statement is true?
A. Events A and B are independent because P(A|B) = P(A)
B. Events A and B are dependent because P(A|B) = P(A)
C. Events A and B are independent because P(A|B) = P(B)
D. Events A and B are dependent because P(A|B) P(A)
Mathematics
2 answers:
Stolb23 [73]3 years ago
8 0

Easy! The answer is B!

Afina-wow [57]3 years ago
6 0

Answer:

Option A is correct

because P(A/B) = P(A)

Step-by-step explanation:

Two events are independent if the occurrence one event does not depend on the other.

In Statistics, two events are independent if P(AB)= P(A)*P(B)

Here we are given P(A) = 0.67 and P(A/B) = 0.67

i.e. P(AB)/P(B) = 0.67

This implies P(AB) = P(A)*P(B)

Hence A and B are independent of each other.

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9514 1404 393

Answer:

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Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

  (2x -3y -2z) +(x +3y +2z) = (4) +(-7)

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Adding equations 2 and 3:

  (x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

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Substituting for x, we get ...

  (-3)(-1) -y = 3

 0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

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