Question:
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is . The standard deviation for this distribution is given by ______.
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is . The standard deviation for this distribution is given by ______.
Updated On: Mar 29, 2024
- (A)
- (B)
- (C)
- (D)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Explanation:
Poisson distribution formula,where mean value of occurrence within an interval probability of occurrence within an interval For Poisson Distribution we haveMean Variance (Standard Deviation) Standard Deviation Hence, the correct option is (A).
Poisson distribution formula,where mean value of occurrence within an interval probability of occurrence within an interval For Poisson Distribution we haveMean Variance (Standard Deviation) Standard Deviation Hence, the correct option is (A).
Was this answer helpful?
0
0
Top Questions on Differential equations
- Let \( y = f(x) \) be the solution of the differential equation\[\frac{dy}{dx} + \frac{xy}{x^2 - 1} = \frac{x^6 + 4x}{\sqrt{1 - x^2}}, \quad -1 < x < 1\] such that \( f(0) = 0 \). If \[6 \int_{-1/2}^{1/2} f(x)dx = 2\pi - \alpha\] then \( \alpha^2 \) is equal to __________.
- JEE Main - 2025
- Mathematics
- Differential equations
- If \( x = f(y) \) is the solution of the differential equation \[ (1 + y^2) + (x - 2e^{\tan^{-1}y}) \frac{dy}{dx} = 0, \quad y \in \left( -\frac{\pi}{2}, \frac{\pi}{2} \right), \] with \( f(0) = 1 \), then \( f\left( \frac{1}{\sqrt{3}} \right) \) is equal to:
- JEE Main - 2025
- Mathematics
- Differential equations
- Let \( f(x) \) be a real differentiable function such that \( f(0) = 1 \) and \( f(x + y) = f(x)f'(y) + f'(x)f(y) \) for all \( x, y \in \mathbb{R} \). Then \( \sum_{n=1}^{100} \log_e f(n) \) is equal to :
- JEE Main - 2025
- Mathematics
- Differential equations
- Let \( x = x(y) \) be the solution of the differential equation \( y^2 dx + \left( x - \frac{1}{y} \right) dy = 0 \). If \( x(1) = 1 \), then \( x\left( \frac{1}{2} \right) \) is :
- JEE Main - 2025
- Mathematics
- Differential equations
Let \( f : \mathbb{R} \to \mathbb{R} \) be a twice differentiable function such that \( f(x + y) = f(x) f(y) \) for all \( x, y \in \mathbb{R} \). If \( f'(0) = 4a \) and \( f \) satisfies \( f''(x) - 3a f'(x) - f(x) = 0 \), where \( a > 0 \), then the area of the region R = {(x, y) | 0 \(\leq\) y \(\leq\) f(ax), 0 \(\leq\) x \(\leq\) 2\ is :
- JEE Main - 2025
- Mathematics
- Differential equations
View More Questions
Questions Asked in MHT CET exam
- The metal that cannot be obtained by electrolysis of an aqueous solution of its salts is:
- MHT CET - 2024
- Electrochemistry
- An example of a sigma-bonded organometallic compound is:
- MHT CET - 2024
- Organic Chemistry- Some Basic Principles and Techniques
- Which of the following is not a neutral ligand?
- MHT CET - 2024
- coordination compounds
- The reagent used in the Etard reaction is:
- MHT CET - 2024
- Chemical Reactions
- If an electron jumps from the 3rd orbit to the 2nd orbit, its wavelength is \(\lambda\). Then the wavelength of the electron when it jumps from the 4th orbit to the 3rd orbit in terms of \(\lambda\) is:
- MHT CET - 2024
- Atomic Spectra
View More Questions