Assume that a procedure yields a binomial distribution with n=1358
trials and the probability of success for one trial is p=.84
Find the standard deviation for this distribution.
To find the standard deviation of a binomial distribution, you can use the following formula, where n is the number of trials and p is the probability of success:
Standard Deviation (σ) = sqrt(n * p * (1 - p))
Here, we're given:
n = 1358 (the number of trials)
p = 0.84 (the probability of success)
Now, plugging these numbers into the formula, we get:
σ = sqrt(1358 * 0.84 * (1 - 0.84))
= sqrt(1358 * 0.84 * 0.16)
= sqrt(1358 * 0.1344)
= sqrt(182.6112)
= 13.5174 (approximately)
So, the standard deviation for this binomial distribution is approximately 13.52.