Step 1 :Given values are n = 127 and p = 0.78.
Step 2 :The mean of a binomial distribution is calculated as \(n*p\).
Step 3 :Substitute the given values into the formula: mean = 127 * 0.78.
Step 4 :Calculate the mean to get approximately 99.06.
Step 5 :Round the mean to the nearest tenth to get 99.1.
Step 6 :So, the mean, \(\mu\), is \(\boxed{99.1}\).