TS EAMCET · Maths · Probability
If the mean and variance of a binomial distribution are and respectively, then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
We know that Mean =np=4 variance =npq=43 ⇒npqnp=434 ⇒q=13 ⇒p=1-13=23 So, np=4 ⇒n23=4 ⇒n=6 Now, PX=2=C26p2q4 ⇒PX=2=6!2!×4!232134 ⇒PX=2=6036 ⇒PX=2=20243
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
- The Rolle's theorem is not applicable to on becauseTS EAMCET 2021 Easy
- The sum of the series \(1+\frac{2}{3}\left(\frac{1}{8}\right)+\frac{2 \times 5}{3 \times 6}\left(\frac{1}{8}\right)^2+\frac{2 \times 5 \times 8}{3 \times 6 \times 9}\left(\frac{1}{8}\right)^3+\ldots\) isTS EAMCET 2016 Medium
- Among every 8 units of a product, one is likely to be defective. If a consumer has ordered 5 units of that product, then the probability that atmost one unit is defective among them isTS EAMCET 2025 Medium
- If the period of the function \(f(x)=2 \cos (3 x+4)-3 \tan (2 x-3)+5 \sin (5 x)-7\) is \(k\), thenTS EAMCET 2024 Hard
- A point on the plane that passes through the points \((1,-1,6),(0,0,7)\) and perpendicular to the plane \(x-2 y+z=6\) isTS EAMCET 2017 Medium
- If \(A(5,-4)\) and \(B(7,6)\) are points in a plane, then the set of all points \(P(x, y)\) in the plane such that \(A P: P B=2: 3\) isTS EAMCET 2016 Easy
More PYQs from TS EAMCET
- If is the number of all even divisors and is the number of all odd divisors of the number , thenTS EAMCET 2018 Medium
- A and \({B}\) are two independent events. \({P}({A})=\frac{2}{5}, {P}({B})=\frac{1}{3}\). Match the following.
The correct answer is \( \begin{array}{llll} \mathbf{A} & \mathbf{B} & \mathbf{C} & \mathbf{D} \end{array} \)TS EAMCET 2022 Medium - The work to be done to produce a strain of \(10^{-3}\) in a steel wire of mass 2.96 kg and density \(7.4 \mathrm{~g} \mathrm{~cm}^{-3}\) is
(Young's modulus of steel \(=2 \times 10^{11} \mathrm{Nm}^{-2}\) )TS EAMCET 2025 Medium - A radioactive material of half-life 2.5 hours emits radiation that is 32 times the safe maximum level. The time (in hours) after which the material can be handled safely isTS EAMCET 2025 Medium
- The coefficient of \(x^{12}\) in the expansion of \(\left(x^2+2 x+2\right)^8\) isTS EAMCET 2025 Medium
- Find the ratio of the length of a steel rod and a copper rod if the steel rod is longer than the copper rod at any temperature.
[The coefficient of linear expansion for steel and copper are and respectively]TS EAMCET 2022 Medium