Question

Suppose a binomial event has a probability of success of 0.1, and 750 trials are performed. What is the standard deviation of the possible outcomes? Round your answer to two decimal places.

Answer 1

The standard deviation is 8.22

Answer 2

Answer: 8.22

Step-by-step explanation:

For any binomial event , the formula to calculate the standard deviation of the possible outcomes is given by :-

$\sigma=\sqrt{p(1-p)n}$, where p is the probability of success and n is the number of trials.

Given: The probability of success p = 0.1

The number of trials = 750

Now, the standard deviation of the possible outcomes will be :-

$\sigma=\sqrt{0.1(1-0.1)750}\\\\\Rightarrow\sigma=8.21583836258\approx8.22$