The probability distribution function oif a random variable X is … - Vidyadip

Question

The probability distribution function oif a random variable X is given by

X_i	0	1	2
P_i	3c³	4c - 10c²	5c - 1

Where c > 0

Find: $\text{P}(1<\text{X}\leq2)$

✓

Answer

$\text{P}(1<\text{X}\leq2)$
$=\text{P}(\text{X}=2)$
$=5\text{c}-1$
$=\frac{5}{3}-1$
$=\frac{5-3}{3}$
$=\frac{2}{3}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks" from Probability→Probability — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the domain of the following functions:
$\text{f(x)}=\sin^{-1}\text{x}+\sin\text{x}$

Find the values of x, y and z from the following equations:
$\begin{bmatrix}\text{x+y} & 2 \\5+\text{z} & \text {xy} \end{bmatrix}=\begin{bmatrix}6 & 2 \\5& 8 \end{bmatrix}$

Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\frac{\text{d}^2\text{y}}{\text{dx}^2}+\Big(\frac{\text{dy}}{\text{dx}}\Big)^2+\text{xy}=0$

The sales figure of two car dealers during January 2013 showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January-February revealed that dealer A sold 8 deluxe 7 premium and 6 standard cars. In the same 2 month period, dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2 × 3 matrices summarizing sales data for January and 2-month period for each dealer.

Evaluate $\int \frac{\sin x-x \cos x}{x(x+\sin x)} d x$.

Write the domain of the real function f defined by $\text{f(x)}=\sqrt{25-\text{x}^2}.$

Determine whether the below relation is reflexive, symmetric and transitive:
Relation R in the set A of human beings in a town at a particular time given by
R = {(x, y) : x and y work at the same place}

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. State whether f is one-one or not.

Integrate the function $\frac{{{{\sec }^2}x}}{{\sqrt {{{\tan }^2}x + 4} }}$

If $y=3 \cos (\log x)+4 \sin (\log x)$, then prove that $x^2 y_2+x y_1+y=0$.