Question

A die is thrown 4 times. Getting an even number is considered a success. Then the variance of the distribution of success is ______

Options

• `1/2`

• `3/2`

• `1/4`

• 1

Answer 1

A die is thrown 4 times. Getting an even number is considered a success. Then the variance of the distribution of success is 1.

Explanation:

Probability of getting an even number is

p = `3/6 = 1/2`

∴ q = `1 - 1/2 = 1/2`

Also, n = 4

∴ Variance = npq = `4.(1/2).(1/2) = 1`