find the standard deviation for the binomial distribution which has the stated values of N and P. Round your answer to the nearest hundredth.
n= 503
p= 0.7
To find the standard deviation for a binomial distribution with values n and p, you can use the formula:
Standard Deviation = √(n * p * (1 - p))
Given that n = 503 and p = 0.7, we can substitute these values into the formula:
Standard Deviation = √(503 * 0.7 * (1 - 0.7))
Calculating this expression, we get:
Standard Deviation ≈ √(352.1 * 0.3)
Standard Deviation ≈ √(105.63)
Standard Deviation ≈ 10.276
Rounding this value to the nearest hundredth, the standard deviation is approximately 10.28.