MHT CET · Maths · Probability
A random variable \(\mathrm{X}\) has the following probability distribution
Then \(F(4)=\)
- A \(\frac{3}{10}\)
- B \(\frac{1}{10}\)
- C \(\frac{7}{10}\)
- D \(\frac{4}{5}\)
Answer & Solution
Correct Answer
(D) \(\frac{4}{5}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Here } \mathrm{k}+2 \mathrm{k}+2 \mathrm{k}+3 \mathrm{k}+\mathrm{k}^2+2 \mathrm{k}^2+7 \mathrm{k}^2+\mathrm{k}=1 \\ & \therefore 10 \mathrm{k}^2+9 \mathrm{k}-1=0 \Rightarrow(10 \mathrm{k}-1)(\mathrm{k}+1)=0 \\ & \therefore \mathrm{k}=\frac{1}{10} \quad \ldots(\mathrm{k} \geq 0) \\ & \therefore \mathrm{F}(4)=\mathrm{k}+2 \mathrm{k}+2 \mathrm{k}+3 \mathrm{k}=8 \mathrm{k}=\frac{8}{10}=\frac{4}{5}\end{aligned}\)
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 line \(x=\frac{\mathrm{y}-1}{2}=\frac{\mathrm{z}-3}{\lambda}\) and the plane \(x+2 y+3 z=4\) is \(\cos ^{-1} \sqrt{\frac{5}{14}}\), then the value of \(\lambda\) isMHT CET 2025 Medium
- If the sides of a triangle \(a, b, c\) are in A.P., then with usual notations, a \(\cos ^2 \frac{\mathrm{C}}{2}+\mathrm{c} \cos ^2 \frac{\mathrm{~A}}{2}\) isMHT CET 2024 Medium
- The differential equation of the circles having their centres on the line \(\mathrm{y}=8\) and touching the \(\mathrm{X}\) -axis isMHT CET 2020 Medium
- The sum of 10 values is 12 and the sum of their squares is 16.9 , then their standard deviation \((S, D)\) isMHT CET 2022 Easy
- The volume of the tetrahedron whose co-terminus edges are \(\bar{a}, \overline{\mathrm{~b}}, \overline{\mathrm{c}}\) is 12 cubic units. If the scalar projection of \(\bar{a}\) on \(\overline{\mathrm{b}} \times \overline{\mathrm{c}}\) is 4 , then \(|\overline{\mathrm{b}} \times \overline{\mathrm{c}}|=\)MHT CET 2025 Medium
- An object is moving in the clockwise direction around the unit circle \(x^2+y^2=1\). As it passes through the point \(\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)\), its \(y\)-co-ordinate is decreasing at the rate of 3 units per sec. The rate at which the \(x\)-co-ordinate changes at this point isMHT CET 2023 Medium
More PYQs from MHT CET
- Consider the statements given by following
(A) If \(4+3=8\), then \(5+3=9\)
(B) If \(6+4=10\), then moon is flat
(C) If both (A) and (B) are true, then \(5+6=17\)
Then which of the following statement is correct?MHT CET 2025 Medium - The area bounded between the curves \(y=a x^2\) and \(x=\mathrm{a} y^2(\mathrm{a}\gt0)\) is 1 sq. units, then the value of \(a\) isMHT CET 2024 Easy
- The resistance offered by the inductor \(\left(X_L\right)\) in an ac circuit isMHT CET 2022 Easy
- Spermiogenesis involves all of the following, EXCEPTMHT CET 2017 Easy
- The value of \(\int_0^\pi\left|\sin x-\frac{2 x}{\pi}\right| \mathrm{d} x\) isMHT CET 2023 Medium
- The depletion layer in \(\mathrm{p}-\mathrm{n}\) junction region is caused byMHT CET 2024 Easy