Week 2 Statistics 2 Questions | Prasnya

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Statistics 2 - Week 2

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SubjectStatistics 2

19Questions5Years

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Q1-Q1 of 15

The joint probability mass function of two discrete random variables

X

Y

f_{XY}(x,y)=\begin{cases}\dfrac{xy}{36}, & x,y\in\{1,2,3\},\\ 0, & \text{otherwise.}\end{cases}

What is the value of

P(X+Y=4)

? Enter the answer correct to two decimal places.

Integer answermedium3 marksAPRIL 06, 2026

X

be a discrete random variable with PMF as follows. Suppose

X_1, X_2 \sim

X

Y=X_1+X_2

. Which of the following option(s) is/are true about the moment generating function of

Y

Multiple correctmedium3 marksAUGUST 03, 2025

AUGUST 03, 2025

X\sim\mathrm{Uniform}\{1,2\}

be discrete. Let

(Y\mid X=1)\sim\mathrm{Exp}(1)

(Y\mid X=2)\sim\mathrm{Exp}(2)

. Find the distribution of

Y

Single correctmedium3 marksMARCH 16, 2025

The joint PMF table of two discrete random variables

X_1

X_2

is given. Which option(s) is/are true?

Multiple correctmedium3 marksMARCH 16, 2025

F_Z(3)

. Enter the answer correct to two decimal places.

Comprehensioneasy4 marksMARCH 16, 2025

Find the range of

Z

Comprehensioneasy1 marksDECEMBER 01, 2024

DECEMBER 01, 2024

P(Z=3)

Comprehensioneasy2 marksDECEMBER 01, 2024

DECEMBER 01, 2024

Which of the following option(s) is/are true? The joint PMF table of two discrete random variables

X_1

X_2

Multiple correctmedium3 marksMARCH 24, 2024

X, Y, Z \sim \text{i.i.d. Geometric}(1/2)

. Define a new random variable

U = \min(X, Y, Z)

. What is the value of

1/P(U \ge 3)

Integer answermedium3 marksAUGUST 06, 2023

AUGUST 06, 2023

X \sim \text{Bernoulli}(0.4)

Y\mid X=x \sim \text{Uniform}(x-1,x+1)

. Find the density of

Y

Single correctmedium3 marksAUGUST 06, 2023

AUGUST 06, 2023

(X,Y)\sim \text{Uniform}(D)

. Which of the following may represent a region

D

X

Y

are independent?

Single correctmedium3 marksAUGUST 06, 2023

AUGUST 06, 2023

Find the range of

Z

Comprehensioneasy1 marksAPRIL 02, 2023

Find the value of

P(0<Z<3)

Comprehensionmedium2 marksAPRIL 02, 2023

Find the range of

Z

Comprehensioneasy1 marksNOVEMBER 20, 2022

NOVEMBER 20, 2022

Find the probability mass function (PMF) of

Z

Comprehensionmedium3 marksNOVEMBER 20, 2022

NOVEMBER 20, 2022

Showing 15 questions.