Exponential Dist ची गणना कशी करावी

Exponential Dist म्हणजे काय?

Analyzes exponential distribution (waiting time) with mean 1/λ, used for modeling queues and failures.

सूत्र

चरण-दर-चरण मार्गदर्शक

1. 1PDF: f(x) = λe^(-λx)
2. 2CDF: F(x) = 1 - e^(-λx)
3. 3Mean = 1/λ, Variance = 1/λ²
4. 4Memoryless property: P(X > s+t | X > s) = P(X > t)

Worked Examples

Common Mistakes to Avoid

• ✕Using normal distribution for time data (exponential better)
• ✕Wrong λ parameter (rate, not 1/rate)
• ✕Not checking memoryless property applicability

Frequently Asked Questions