Find the standard deviation of the binomial distribution for which n = 1000 and p = 0.94

Question

asked Apr 9, 2020 127k views

2 Answers

Lee Fuller · Answer 1 · 2020-04-14T04:38:54+0000

Answer:

7.51

(rounded to 2 decimal places)

Explanation:

The formula for standard deviation of binomial distribution is shown below:

$\sigma=√(n*p*(1-p))$

Where
$\sigma$ is the standard deviation

n is the sample size

and p is probability of success

Given n = 1000 and p =0.94, we can plug into the formula to find the standard deviation:

$\sigma=√(n*p*(1-p))\\\sigma=√(1000*0.94*(1-0.94))\\\sigma=7.51$