1
a. Yes
b. No

1 Answer

2

Answer:

No

Step-by-step explanation:

Given

Square\ Pizza = 49\%

Soft\ Drink= 71\%

Required

Are both events independent?

Let P(S) be the probability that a customer orders a square pizza.

P(S) = 49\%

Convert to decimal

P(S) = 0.49

Let P(D) be the probability that a customer orders a soft drink.

P(D) = 71\%

Convert to decimal

P(D) = 0.71

From the question, we have that:

P(S\ and\ D) = 0.38

For events S and D to be independent:

The following condition must be true

P(S\ and\ D) = P(S) * P(D)

Substitute values for P(S and D), P(S) and P(D)

0.38\ [\ \ ] 0.49 * 0.71

0.38\ [\ \ ] 0.3479

Complete the blank with \ne

0.38\ \ne 0.3479

Since both sides are not equal, then the events are not independent.

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answered 10 months ago