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A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 15, 5, 30, 50. The third column is labeled Y with entries 5, 8, 15, 28. The fourth column is labeled Z with entries 10, 7, 5, 22. The fifth column is labeled Total with entries 30, 20, 50, 100. Which two events are independent? A and X A and Y B and X B and Y

Respuesta :

bastianclark

Answer:

A and X

Step-by-step explanation:

Got it right on edge-nuity

MrRoyal

The two events that are independent are (a) event A and event X

How to determine the independent events?

Two events M and N are independent if the following equation is true

P(M and N) = P(M) * P(N)

The table is given as:

     X    Y   Z   Total

A   15   5   10   30

B   5    8     7   20

C   30  15   5    50

D   50 28   22   100

Next, we test the options using the formula: P(M and N) = P(M) * P(N)

Option 1: Events A and X

From the table, we have:

P(A) = 30/100

P(X) = 50/100

P(A and X) = 15/100

Substitute these values in

P(A and X) = P(A) * P(X)

So, we have:

15/100 = 30/100 * 50/100

Evaluate

15/100 = 1500/10000

Divide

15/100 = 15/100

Both sides of the equation are the same.

This means that P(A and X) = P(A) * P(X) is true

Hence, the two events that are independent are (a) event A and event X

Read more about probability at:

https://brainly.com/question/251701

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