A trainer is teaching a dolphin to do tricks. The probability that the dolphin successfully performs the trick is 8 out of 24 attempts.

What are the mean and standard deviation

1 answer

The probability of success, p, is 8/24 = 1/3.
The probability of failure, q, is 1 - p = 2/3.

The mean, or expected value, is given by E(X) = np = (24)(1/3) = 8.

The standard deviation is given by σ = sqrt(npq) = sqrt((24)(1/3)(2/3)) ≈ 2.05.