This is binomial
distribution problem. <span>
We are given that:</span>
n = sample size = 500
p = proportion which
burns wood = 0.27,
q = proportion which
does not burn wood = 1-p = 0.73
<span>
A. Mean is calculated as:</span>
Mean = n*p
Mean = 500 * 0.27
Mean = 135
<span>
B. Variance is calculated as:</span>
Variance = n*p*q
Variance = 500*0.27*0.73
Variance = 98.55
<span>
C. Standard deviation is calculated as:</span>
Standard deviation = sqrt(variance)
Standard deviation =
sqrt(98.55)
<span>Standard deviation =
9.93</span>