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
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
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