AP EAMCET · Maths · Probability
A random variable \(\mathrm{X}\) takes the values 0,1 and 2. If \(P(X=1)=P(X=2)\) and \(P(X=0)=0.4\), then the mean of the random variable \(\mathrm{X}\) is
- A \(0.2\)
- B \(0.7\)
- C \(0.5\)
- D \(0.9\)
Answer & Solution
Correct Answer
(D) \(0.9\)
Step-by-step Solution
Detailed explanation
We have, \(P(X=1)=P(X=2)\) \[ \frac{\lambda^1}{1 !} e^\lambda=\frac{\lambda^2}{2 !} e^\lambda \Rightarrow \lambda=2 \] Also, \(P(X=0)+P(X=1)+P(X=2)=1\)…
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 focii of the ellipse \(\frac{x^2}{25}+\frac{y^2}{16}=1\) and the hyperbola \(\frac{x^2}{4}-\frac{y^2}{b^2}=1\) coincide, then \(b^2\) is equal toAP EAMCET 2013 Medium
- If the co-ordinate axes are the bisectors of the angles between the pair of lines \(a x^2+2 h x y+b y^2=0\) where \(h^2>a b\) and \(a \neq b\), thenAP EAMCET 2002 Easy
- The coefficient of \(x^5\) in the expansion of \(\left(x^2+2 x+3\right)^5\), isAP EAMCET 2019 Easy
- The condition for the coaxial system \(x^2+y^2+2 \lambda x+c=0\), where \(\lambda\) is a parameter and \(c\) is a constant, to have distinct limiting points, isAP EAMCET 2007 Easy
- Let \(n=1 !+4 !+7 !+\ldots+400 !\). Then ten's digit of \(n\) isAP EAMCET 2010 Hard
- If \(\int_3^5 \sqrt{8 x-x^2-15} d x=p\), then \(\sin p+\operatorname{cosec} p=\)AP EAMCET 2017 Medium
More PYQs from AP EAMCET
- Which among the following denotes the correct relationship between and for the reactionAP EAMCET 2021 Medium
- Find ' \(\lambda\) ' if \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) are three non-coplanar vectors such that
\(\left[\begin{array}{ccc}
4 a+3 b-c & 4 a+3 b+2 c \quad a-4 b-c
\end{array}\right]\)
\(=\left(\lambda^2+\lambda+1\right)\left[\begin{array}{lll}a & b & c\end{array}\right]\)AP EAMCET 2020 Medium - If two sections of strengths 30 and 45 are formed from 75 students who are admitted in a school, then the probability that two particular students are always together in the same section isAP EAMCET 2019 Medium
- The area (in sq units) of the quardilateral formed by the lines \(2 x+3 y+6=0\), \(2 x-3 y+6=0,2 x+3 y-6=0\) and \(2 x-3 y-6=0\) isAP EAMCET 2018 Easy
- Assertion (A) Rapidly changing temperatures can be measured by thermocouples.Reason (R) The thermal capacity of the junction of a thermocouple is very small.AP EAMCET 2004 Medium
- The lines \(a x^2+2 h x y+b y^2=0\) are at right angles ifAP EAMCET 2020 Medium