Question

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; p0.7

Answer 1

Answer: 10.28

Explanation:

For the binomial distribution ,

standard deviation :
`\sigma=√(p(1-p)n)`, where p = population proportion, n = sample size.

Given: n= 503 and p=0.7

Then,
`\sigma=√(503*0.7(1-0.7))=√(105.63)\approx10.28`

Hence, the standard​ deviation = 10.28