The standard deviation (σ) of a binomial distribution is calculated using the formula:
σ=Sqrt(n∗p∗(1−p)​)
Where:
- σ (sigma) is the standard deviation.
- n is the number of trials.
- p is the probability of success.
In this case:
- n (number of trials) = 100
- p (probability of success) = 0.3
Now, calculate the standard deviation:
σ=sqrt(100∗0.3∗(1−0.3))​
σ=100∗0.3∗0.7​
σ=21​
σ≈4.58
So, the standard deviation of the binomial distribution with 100 trials and a probability of success of 0.3 is approximately 4.58.
The standard deviation (σ) of a binomial distribution is calculated using the formula:
σ=Sqrt(n∗p∗(1−p)​)
Where:
- σ (sigma) is the standard deviation.
- n is the number of trials.
- p is the probability of success.
In this case:
- n (number of trials) = 100
- p (probability of success) = 0.3
Now, calculate the standard deviation:
σ=sqrt(100∗0.3∗(1−0.3))​
σ=100∗0.3∗0.7​
σ=21​
σ≈4.58
So, the standard deviation of the binomial distribution with 100 trials and a probability of success of 0.3 is approximately 4.58.