Question 31 - Week 4 Practice | Prasnya

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Qualifier / Quiz 1

Go to subjectStatistics 2 Go to chapterWeek 4

Question 31

00:00Est. 2 min

Marks:+2.000.00

Passage

Based on the above data, answer the given subquestions. Consider a function

f:\mathbb{R}\to\mathbb{R}

such that

f(x)=\frac{1}{b}

for

-1\le x<0

;

f(x)=ax(x+1)(x-1)

for

0\le x\le1

; and

f(x)=0

otherwise, where

a

and

b

are any real constants.

Question

With the choice of

a

and

b

given in the previous question, find

P\left(X\le -\frac{1}{2}\mid X<1\right)

. Enter the answer correct to three decimal places.

Comprehension

Medium Difficulty

16 October 2022

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