Week 2 Statistics 2 Questions | Prasnya

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X

Y

be two independent random variables with the following PMFs. Define a new random variable

Z=\min(X,Y)

. Find the value of

P(Z\le 1)

. Enter the answer correct to one decimal place.

Integer answerOCTOBER 26, 2025

OCTOBER 26, 2025

Find the value of

f_{XY}(1,0)+f_{XY}(2,0)

ComprehensionOCTOBER 26, 2025

OCTOBER 26, 2025

What is the range of

Y

ComprehensionOCTOBER 26, 2025

OCTOBER 26, 2025

Suppose that on a particular day oven

O_1

O_2

are operated and

O_3

is turned off, then find the value of

P(Y=2)

. Enter the answer correct to two decimal places.

ComprehensionOCTOBER 26, 2025

OCTOBER 26, 2025

Define a new random variable

Z=X_1+X_2

. Find the value of

P(Z=2)

Single correctOCTOBER 26, 2025

OCTOBER 26, 2025

X_1,X_2

X_3

be three independent and identically distributed Poisson random variables with mean

\lambda=3

. Find the probability that exactly one of the

X_i

0

, and the other two variables are greater than

1

Single correctJULY 13, 2025

Which of the following expressions correctly represents the event that an arriving patient cannot be treated?

ComprehensionJULY 13, 2025

Find the value of

P(Z\le 1\mid Y=3)

. Enter the answer correct to three decimal places.

ComprehensionJULY 13, 2025

Which of the following option(s) is/are correct?

ComprehensionJULY 13, 2025

Find the value of

x

for which the random variables

X

Y

are independent.

Single correctFEBRUARY 23, 2025

FEBRUARY 23, 2025

Z

represents the combined total number of customers arriving at both counters during a one-hour interval, then determine the PMF of

Z

ComprehensionFEBRUARY 23, 2025

FEBRUARY 23, 2025

Which of the following option(s) is/are correct?

ComprehensionFEBRUARY 23, 2025

FEBRUARY 23, 2025

Find the range of

Z\mid Y=2

ComprehensionOCTOBER 27, 2024

OCTOBER 27, 2024

What is the value of

P(Z=54,Y=2)

? Enter the answer correct to two decimal places.

ComprehensionOCTOBER 27, 2024

OCTOBER 27, 2024

Define a new random variable

Z=\max(X_1,X_2,X_3)

. Find the value of

P(Z\le2)

ComprehensionOCTOBER 27, 2024

OCTOBER 27, 2024

X=4

, then which of the following options are true?

ComprehensionOCTOBER 27, 2024

OCTOBER 27, 2024

Find the value of

100P(Y=6)

. Enter the answer correct to two decimal places.

ComprehensionOCTOBER 27, 2024

OCTOBER 27, 2024

Consider a random variable

X

that takes integer values from

1

10

with equal probability

\frac{1}{10}

. Define another random variable

Y=X\bmod 4

. Find the PMF of

Y

Single correctJULY 07, 2024

What is the probability that exactly one out of the three random variables takes value greater than

4

ComprehensionJULY 07, 2024

Find the probability

P(\max(X_1,X_2,X_3)>4)

. Enter the answer correct to three decimal places.

ComprehensionJULY 07, 2024

Find the PMF of

Z

ComprehensionFEBRUARY 25, 2024

FEBRUARY 25, 2024

X=5

, then which of the following options are true?

ComprehensionFEBRUARY 25, 2024

FEBRUARY 25, 2024

Find the value of

P(Y=1\mid X=5)

. Enter the answer correct to two decimal places.

ComprehensionFEBRUARY 25, 2024

FEBRUARY 25, 2024

Find the value of

P(Z\le3)

ComprehensionFEBRUARY 25, 2024

FEBRUARY 25, 2024

P(Z=4)=\frac{a}{36}

, what is the value of

a

ComprehensionFEBRUARY 25, 2024

FEBRUARY 25, 2024

Find the range of

Z

ComprehensionOCTOBER 29, 2023

OCTOBER 29, 2023

Find the value of

P(Z=3)

ComprehensionOCTOBER 29, 2023

OCTOBER 29, 2023

What is the PMF of

X

ComprehensionOCTOBER 29, 2023

OCTOBER 29, 2023

Find the PMF of

U

ComprehensionOCTOBER 29, 2023

OCTOBER 29, 2023

Compute the CDF of

X

F_X(k)

k\in\{1,2,3,4,5,6\}

ComprehensionOCTOBER 29, 2023

OCTOBER 29, 2023

P(X=4)

. Enter the answer correct to two decimal places.

ComprehensionOCTOBER 29, 2023

OCTOBER 29, 2023

Find the value of

\lambda

3P(X=3)=2P(X=2)+4P(X=1)

ComprehensionOCTOBER 29, 2023

OCTOBER 29, 2023

Find the range of

U

ComprehensionJULY 16, 2023

Find the value of

P(X=4,U=8)

ComprehensionJULY 16, 2023

Let a random variable

G

represent the number of girls selected for the committee. Find the range of

G

ComprehensionJULY 16, 2023

Z=5

, then which of the following options are true?

ComprehensionJULY 16, 2023

X

Y

be two independent

\operatorname{Bernoulli}\left(\frac{1}{3}\right)

random variables. Define another random variable

Z=|X-Y|

. Find the PMF of

Z

Single correctOCTOBER 16, 2022

OCTOBER 16, 2022

X

Y

ComprehensionOCTOBER 16, 2022

OCTOBER 16, 2022

Compute the CDF of

X

F_X(k)

k\in\{1,2,\ldots,6\}

ComprehensionOCTOBER 16, 2022

OCTOBER 16, 2022

P(X=3)

. Enter the answer correct to three decimal places.

ComprehensionOCTOBER 16, 2022

OCTOBER 16, 2022

If Aman is asked two questions during the interview, what is the probability that he will answer only one correctly? Enter the answer correct to two decimal places.

ComprehensionOCTOBER 16, 2022

OCTOBER 16, 2022

P(X=Y)

. Enter the answer correct to three decimal places.

ComprehensionOCTOBER 16, 2022

OCTOBER 16, 2022

Find the distribution of

S = X + Y

Single correctJUNE 05, 2022

Find the distribution of

Z_1 = \max(X,Y)

Single correctJUNE 05, 2022

Find the distribution of

Z_2 = \min(X,Y)

Single correctJUNE 05, 2022

Which of the following options are true?

Multiple correctJUNE 05, 2022

Which of the following options are true?

Multiple correctJUNE 05, 2022

Find the value of

P(X=1\mid Z=5)

. Enter the answer correct to two decimal places.

Integer answerJUNE 05, 2022

Showing 48 questions.