Week 4 Statistics 2 Questions | Prasnya

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Statistics 2 - Week 4

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SubjectStatistics 2

40Questions5Years

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Q1-Q1 of 29

X\sim \text{Exponential}(1)

f_X(x)=e^{-x}

x>0

. Define a random variable

Y=3X+1

. Find the value of

f_Y(6)

. Enter the answer correct to two decimal places.

Integer answermedium3 marksAPRIL 06, 2026

Find the value of

k

Comprehensionmedium2 marksAPRIL 06, 2026

Find the value of

P(X\le 0.5)

. Enter the answer correct to one decimal place.

Comprehensionmedium3 marksAPRIL 06, 2026

X \sim \mathrm{Normal}(1,16)

Z=(X-1)/4

P(X^2>16)

Single correctmedium3 marksAUGUST 03, 2025

AUGUST 03, 2025

Find the value of

k

Comprehensioneasy2 marksAUGUST 03, 2025

AUGUST 03, 2025

P(0\le X\le1/2)

. Enter the answer correct to two decimal places.

Comprehensionmedium3 marksAUGUST 03, 2025

AUGUST 03, 2025

E[X]

. Enter the answer correct to two decimal places.

Comprehensioneasy2 marksMARCH 16, 2025

\operatorname{Var}(X)

. Enter the answer correct to two decimal places.

Comprehensionmedium2 marksMARCH 16, 2025

X\sim\mathrm{Exp}(\lambda)

, find the PDF of

Y=X^2

Single correctmedium3 marksDECEMBER 01, 2024

DECEMBER 01, 2024

k

. Enter the answer correct to one decimal place.

Comprehensioneasy2 marksDECEMBER 01, 2024

DECEMBER 01, 2024

E[X]=0.7

\operatorname{Var}(X)

. Enter the answer correct to two decimal places.

Comprehensionmedium2 marksDECEMBER 01, 2024

DECEMBER 01, 2024

X\sim\mathrm{Exponential}(3)

f_X(x)=3e^{-3x}

x>0

. Find the PDF of

Y=2X+3

Single correctmedium3 marksAUGUST 04, 2024

AUGUST 04, 2024

E[Y]

. Enter the answer correct to two decimal places.

Comprehensionmedium2 marksAUGUST 04, 2024

AUGUST 04, 2024

Find the PDF of

Y

Comprehensionmedium2 marksAUGUST 04, 2024

AUGUST 04, 2024

X

be a continuous random variable with PDF

f_X(x)=4x^3

0<x\le 1

0

otherwise. Find the PDF of

Y=X^3

Single correctmedium3 marksDECEMBER 03, 2024

DECEMBER 03, 2024

Find the CDF of

Y

Comprehensionmedium2 marksDECEMBER 03, 2024

DECEMBER 03, 2024

P(1\le Y\le 6.25)

. Enter the answer correct to one decimal place.

Comprehensionmedium2 marksDECEMBER 03, 2024

DECEMBER 03, 2024

Find the value of

k

f(x)

is a valid PDF. Hint:

\int e^{-ax}\,dx=-e^{-ax}/a

Comprehensioneasy2 marksAUGUST 06, 2023

AUGUST 06, 2023

What is the probability that rainfall in the local area will be at most 10 inches? Enter the answer correct to 3 decimal places.

Comprehensionmedium3 marksAUGUST 06, 2023

AUGUST 06, 2023

The probability density function of a continuous random variable

X

f(x)=\frac{6x+1}{10}

1\le x\le2

0

otherwise. Find the value of

E[X]

. Enter the answer correct to two decimal places.

Integer answereasy3 marksAPRIL 02, 2023

Find the value of

k

Comprehensioneasy2 marksAPRIL 02, 2023

Find the value of

P(0.25\le X\le0.75)

. Enter the answer correct to two decimal places.

Comprehensionmedium3 marksAPRIL 02, 2023

The probability density function of a continuous random variable

X

f(x)=2x

0<x<1

0

otherwise. Find the value of

E[X]

. Enter the answer correct to two decimal places.

Integer answereasy3 marksNOVEMBER 20, 2022

NOVEMBER 20, 2022

What is the probability that a patient selected at random who went through the treatment will survive for more than

2

Comprehensioneasy2 marksNOVEMBER 20, 2022

NOVEMBER 20, 2022

P(X>6\mid X>4)

Comprehensioneasy3 marksNOVEMBER 20, 2022

NOVEMBER 20, 2022

Which among the following represents the cumulative distribution function (CDF) of

X

Comprehensionmedium2 marksJULY 10, 2022

Find the value of

P(X<2.5)

. Enter the answer correct to two decimal places.

Comprehensioneasy1 marksJULY 10, 2022

Find the probability density function of

Y

Comprehensionmedium3 marksJULY 10, 2022

Find the value of

P(Y\ge2)

. Enter the answer correct to one decimal place.

Comprehensioneasy2 marksJULY 10, 2022

Showing 29 questions.