AP EAMCET · Maths · Probability
For a Poisson distribution, if mean \(=l\), variance \(=m\) and \(l+m=8\), then \(e^4[1-P(X>2)]=\)
- A \(8\)
- B \(13\)
- C \(9\)
- D \(12\)
Answer & Solution
Correct Answer
(B) \(13\)
Step-by-step Solution
Detailed explanation
For Poisson distribution, mean = variance \(l=m=4\) So, \(e^4[1-P(X>2)]\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If the angle between the circles \(x^2+y^2-2 x-4 y+c=0\) and \(x^2+y^2-4 x-2 y+4=0\) is \(60^{\circ}\), then \(c\) is equal toAP EAMCET 2016 Medium
- \(1+\cos ^2 \theta=3 \sin \theta \cos \theta \Rightarrow \theta=\)AP EAMCET 2017 Hard
- The direction cosines of two lines are \(\left\langle\frac{\sqrt{3}}{2}, \frac{1}{4}, \frac{\sqrt{3}}{4}\right\rangle\) and \(\left\langle\frac{-\sqrt{3}}{2}, \frac{1}{4}, \frac{\sqrt{3}}{4}\right\rangle\). Then the angle between the lines is equal toAP EAMCET 2020 Easy
- If \((1+x)^{15}=a_0+a_1 x+\ldots+a_{15} x^{15}, \quad\) then \(\sum_{r=1}^{15} r \frac{a_r}{a_r-1}\) is equal toAP EAMCET 2005 Hard
- If \(x\) is so large that terms containing \(x^{-3}, x^{-4}, x^{-5}, \ldots\) can be neglected, then the approximate value of \(\left(\frac{3 x-5}{4 x^2+3}\right)^{-4 / 5}\) isAP EAMCET 2025 Medium
- If the angle between the tangents drawn through the point \((-2,-1)\) to the parabola \(y^2=4 x\) is \(\theta\), then \(\tan 2 \theta=\)AP EAMCET 2018 Medium
More PYQs from AP EAMCET
- Which one of the following is used as an acid flux in metallurgy?AP EAMCET 2004 Easy
- A particle of mass \(m\) is under an influence of a force \(\mathbf{F}=\left(-k \mathbf{x}+\mathbf{F}_0\right) \mathrm{N}\). The particle when disturbed will oscillateAP EAMCET 2021 Medium
- A small body slides down a smooth uneven surface from a height \(H\), which eventually emerges into a circular loop of radius \(R( < H)\). What should be the value of \(H\), so that the force on the body at \(A\) is \(\sqrt{2}\) times its weight?
AP EAMCET 2021 Hard - \(6 \mathrm{~g}\) of a mixture of naphthalene \(\left(\mathrm{C}_{10} \mathrm{H}_8\right)\) and anthracene \(\left(\mathrm{C}_{14} \mathrm{H}_{10}\right)\) is dissolved in 300 gram of benzene. If the depression in freezing point is \(0.70 \mathrm{~K}\), the composition of naphthalene and anthracene in the mixture respectively in \(\mathrm{g}\) are (molal depression constant of benzene is \(5.1 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\) )AP EAMCET 2019 Hard
- \(\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=2 \hat{i}+\hat{j}+\hat{k}\) are two vectors and \(\vec{c}\) is a unit vector lying in the plane of \(\vec{a}\) and \(\vec{b}\). If \(\vec{c}\) is perpendicular \(\vec{b}\). then \(\vec{c} \cdot(\hat{i}+\hat{j}+2 \hat{k})=\)AP EAMCET 2024 Easy
- Identify \(\mathrm{X}, \mathrm{Y}\) and \(\mathrm{Z}\) in the following reactions sequence
\(\mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}_2 \mathrm{CH}_2 \mathrm{OH} \stackrel{\mathrm{X}}{\longrightarrow} \mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}_2 \mathrm{COOH} \stackrel{\mathrm{Y}}{\longrightarrow} \mathrm{Z}\)AP EAMCET 2023 Medium