Complete Question
The complete question is shown on the first uploaded image
Answer:
The standard deviation is [tex]\sigma =1.5811[/tex]
Step-by-step explanation:
The sample size is n = 18
Generally the probability of getting a four in the toss of the fair die is mathematically represented as
[tex]p = \frac{1}{6 }[/tex]
While the probability of not getting a four is
[tex]q = 1 - p[/tex]
[tex]q = 1 - \frac{1}{6}[/tex]
[tex]q = \frac{5}{6}[/tex]
Now the standard deviation for the binomial random number is mathematically represented as
[tex]\sigma = \sqrt{n * pq }[/tex]
substituting values
[tex]\sigma = \sqrt{18 * \frac{1}{6}* \frac{5}{6} }[/tex]
[tex]\sigma =1.5811[/tex]
