A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.

Solution:

Standard deviation tells about the value that how much it has deviated from the mean value.

We know that,

Standard deviation SD = √npq

Where n is the number of trials, p is the probability of success and q is the complement of p.

From the question,

n = 360, p = 1/6

q = 1 - p

= 1 - 1/6

= 5/6

Substituting these values

SD = √(360 × 1/6 × 5/6)

SD = √50

SD ≈ 7.07

Therefore, the standard deviation is 7.07

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A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.

Summary:

A die is rolled 360 times. The standard deviation for the number of 3s that will be rolled is 7.07