IITM BS Question 3 - Week 4 Practice

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IITM BS Question 3 - Week 4 Practice | Prasnya

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Q3Comprehension3 Marks6 Apr 2026

Passage

Let the random variable

X

represent the time in hours that a student spends studying for a short quiz. Suppose the PDF of

X

f_X(x)=\begin{cases}k\left(x^2-x+\dfrac{1}{2}\right),&0\le x\le 1,\\0,&\text{otherwise.}\end{cases}

Based on the above data, answer the given subquestions.

Find the value of

P(X\le 0.5)

. Enter the answer correct to one decimal place.

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6 Apr 2026

Statistics 2 · Week 4

Q3.Find the value of

P(X\le 0.5)

. Enter the answer correct to one decimal place.@passage

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