Question

The accompanying table shows, for credit-card holders with one to three cards, the joint probabilities for the number of cards owned (X) and number of credit purchases made in a week (Y). Complete parts a through c below. Number of Cards (X) | Number of Purchases in Week (Y) --- | 0 | 1 | 2 | 3 | 4 1 | 0.08 | 0.13 | 0.09 | 0.07 | 0.04 2 | 0.04 | 0.08 | 0.07 | 0.09 | 0.06 3 | 0.01 | 0.03 | 0.05 | 0.08 | 0.08 c. Are the number of cards owned and number of purchases made statistically independent? A. No, because the joint probabilities are the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) ? P(x)P(y). B. No, because the joint probabilities are not the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) = P(x)P(y). C. Yes, because the joint probabilities are the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) = P(x)P(y). D. Yes, because the joint probabilities are not the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) ? P(x)P(y). Click to select your answer(s).

          The accompanying table shows, for credit-card holders with one to three cards, the joint probabilities for the number of cards owned (X) and number of credit purchases made in a week (Y). Complete parts a through c below.
Number of Cards (X) | Number of Purchases in Week (Y)
--- | 0 | 1 | 2 | 3 | 4
1 | 0.08 | 0.13 | 0.09 | 0.07 | 0.04
2 | 0.04 | 0.08 | 0.07 | 0.09 | 0.06
3 | 0.01 | 0.03 | 0.05 | 0.08 | 0.08
c. Are the number of cards owned and number of purchases made statistically independent?
A. No, because the joint probabilities are the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) ? P(x)P(y).
B. No, because the joint probabilities are not the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) = P(x)P(y).
C. Yes, because the joint probabilities are the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) = P(x)P(y).
D. Yes, because the joint probabilities are not the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) ? P(x)P(y).
Click to select your answer(s).

The accompanying table shows, for credit-card holders with one to three cards, the joint probabilities for the number of cards owned (X) and number of credit purchases made in a week (Y). Complete parts a through c below.
Number of Cards (X) | Number of Purchases in Week (Y)
— | 0 | 1 | 2 | 3 | 4
1 | 0.08 | 0.13 | 0.09 | 0.07 | 0.04
2 | 0.04 | 0.08 | 0.07 | 0.09 | 0.06
3 | 0.01 | 0.03 | 0.05 | 0.08 | 0.08
c. Are the number of cards owned and number of purchases made statistically independent?
A. No, because the joint probabilities are the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) ? P(x)P(y).
B. No, because the joint probabilities are not the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) = P(x)P(y).
C. Yes, because the joint probabilities are the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) = P(x)P(y).
D. Yes, because the joint probabilities are not the products of the marginal probabilities. Statistical independence means that, for all pairs of values x and y, P(x,y) ? P(x)P(y).
Click to select your answer(s).

Added by Jose C.

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