If X P (1 2 ), then find P(X=3) given e^ -0.5 =0.6065. - Vidyadip

Question

If $X \sim P\left(\frac{1}{2}\right)$, then find $P(X=3)$ given $e^{-0.5}=0.6065$.

✓

Answer

$\begin{aligned} & \because \quad X \sim P\left(m=\frac{1}{2}\right) \\ & \therefore \quad p(x)=\frac{e^{-m} \cdot m^x}{x !} \\ & \because \quad P(X=3)=\frac{e^{-0.5} \times(0.5)^3}{3 !} \\ & =\frac{0.6065 \times 0.125}{=} \\ & =\frac{0.076}{6} \\ & =0.013 \\ & \end{aligned}$

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 "Solve the following Question.(1 Marks)" from Probability Distributions (p-2)→Probability Distributions (p-2) — all question types→Maths (commerce) STD 12 Commerce / Arts question papers→Maharashtra Board STD 12 Commerce / Arts question papers→Maharashtra Board question paper generator→

Similar questions

Write the dual of each of the following : (p ∨ q) ∨ r

Determine whether each of the following is a probability distribution. Give reasons for your answer.

X	0	1	2	3	4
P(X)	0.1	0.5	0.2	-0.1	0.3

The total cost function for production of x articles is given as $C = 100 + 600x – 3x^2$. Find the values of x for which the total cost is decreasing.

Identify the random variable as discrete or continuous in each of the following. Identify its range if it is discrete.
A highway safety group is interested in the speed (km/hrs) of a car at a checkpoint.

Apply the given elementary transformation on each of the following matrices : $\left[\begin{array}{cc}2 & 4 \\ 1 & -5\end{array}\right], C _1 \leftrightarrow C _2$

Without using truth table, show that : ~[(p ∧ q) → ~(q)] ≡ p ∧ q

If Laspeyre’s and Dorbish Price Index Number are 150.2 and 152.8 respectively, find Paasche’s rice Index Number.

Using truth table prove that ~ p ˄ q ≡ ( p ˅ q) ˄ ~ p

Evaluate the following definite integrals : $\int_{-2}^3 \frac{1}{x+5} d x$

Write the truth value of the negation of each of the following statements : For every x ∈ N, x + 3 < 8.