For a particular diamond mine, 78% of the diamonds fail to qualify as "gemstone grade". A random sample of 106 diamonds is analyzed. Find the mean μ.

Mean of the binomial distribution μ = 82.68

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 106 diamonds

The probability that the diamonds fail to qualify as "gemstone grade

p = 78% = 0.78

We will use binomial distribution

Mean of the binomial distribution

μ = n p

μ = 106 * 0.78

μ = 82.68

conclusion:-

Mean of the binomial distribution μ = 82.68