A regular six-sided die is rolled 1000 times. Use the binomial distribution to determine the standard deviation for the number o

Question

2 years ago

12

f times an odd number is rolled

1 answer:

ANTONII [103] · Answer 1 · 2023-07-20T21:52:39+03:00

The standard deviation for the number of times an odd number is rolled is 15.8

<h3>How to determine the standard deviation?</h3>

The given parameters are:

Die = regular six-sided die

n = 1000

The probability of rolling an odd number is:

p = 1/2 = 0.5

The standard deviation is then calculated as;

$\sigma = \sqrt{np(1 - p)$

This gives

$\sigma = \sqrt{1000 * 0.5 * (1 - 0.5)$

Evaluate the products

$\sigma = \sqrt{250$

Evaluate the root

$\sigma = 15.8$

Hence, the standard deviation is 15.8

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