Assume that a procedure yields a binomial distribution with n=297
trials and the probability of success for one trial is p=37%
.
Find the mean for this binomial distribution.
To find the mean (or expected value) of a binomial distribution, you use the formula:
Mean = n * p
Where:
n = number of trials
p = probability of success on a single trial
Given:
n = 297 trials
p = 37% = 0.37 (as a decimal)
Now, calculate the mean:
Mean = 297 * 0.37
Mean = 109.89
The mean for this binomial distribution is 109.89. This is the expected number of successes in 297 trials if the probability of success on any given trial is 37%.