μ, σ2, Skewness & Kurtosis for n = 6 & P = 0.81
| Calculation Summary | |
|---|---|
| No. of finite events (n) | 6 |
| Probability of success/Trial (p) | 0.81 |
| Negative probability (q) | 0.19 |
| Mean (μ) | 4.86 |
| Variance (σ2) | 0.9234 |
| Standard deviation (σ) | 0.9609 |
| Coefficient Skewness | -0.6452 |
| Coefficient Kurtosis | 0.083 |
Binomial Probability Distribution Workout for n = 6 & P = 0.81
The below is the example work with steps shows how to estimate the μ, σ2, σ, coefficient of skewness & coefficient of kurtosis of Binomial distribution for n = 6 & P = 0.81, may help grade school students to solve the such binomial probability worksheet problems efficiently.Workout
step 1 Address formula, input parameters & values.
Input parameters
n = 6
p = 0.81
q = 1 - p = 1 - 0.81
q = 0.19
Formula
Mean μ = np
Variance σ2 = npq
Standard Deviation σ = = √npq
Coefficient Skewness = q - p/σ
Coefficient Kurtosis = 1 - 6pq/σ²
step 2 Use n, p and q values to find mean, variance and standard deviation
μ = np = 6 x 0.81
μ = 4.86
σ2 = npq = 6 x 0.81 x 0.19
σ2 = 0.9234
σ = √npq = √0.9234
σ = 0.9609
step 3 Apply the values in Coefficient Skewness formula
Coefficient Skewness = q - p/σ
= 0.19 - 0.81/0.9609
= -0.62/0.9609
= -0.6452
Coefficient Skewness = -0.6452
step 4 Apply the values in Coefficient Kurtosis formula
Coefficient Kurtosis = 1 - 6pq/σ²
= 1 - 6 x 0.81 x 0.19/0.9234
= 1 - 0.9234/0.9234
= 0.0766/0.9234
= 0.083
Coefficient Kurtosis = 0.083
