Find the variance and standard deviation of violent crime.

Elleanor Mckenzie

Elleanor Mckenzie

Answered question

2021-09-20

Find the variance and standard deviation of violent crime.

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-09-21Added 110 answers

Calculation:
The given information is that the number of suburbanites (n) is 192, p is 0.09 and q is 0.91.
Variance of binomial distribution:
The formula for calculating the variance of a binomial probability distribution is,
σ2=npq
Thus, the variable is given by,
σ2=(192)(0.09)(0.91)
=15.72
Thus, the variance of violent crime is 15.72.
Standard deviation of binomial distribution:
The formula for calculating the standard deviation of a binomial probability distribution is,
σ=σ2.
=npq
Thus, the standard deviation is given by,
σ=σ2
=15.72
=3.97
Thus, the standard deviation of violent crime is 3.97.

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