Question 28 - Week 4 Practice

Question 28

00:00Est. 2 min

Marks:+3.000.00

Passage

Sruthi throws a dart onto a circular board. Let a random variable

X

denote the distance from the center to the point where the dart hits the board. Suppose the PDF of

X

f_X(x)=kx(1-x^2)

for

0\le x\le 1

, and

0

otherwise. Based on the above data, answer the given subquestions.

Question

Find the value of

P(\frac{1}{4}\le X\le \frac{3}{4})

. Enter the answer correct to two decimal places.

Comprehension

Medium Difficulty

16 July 2023

Your answer