IITM BS Question 18 - Week 4 Practice

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IITM BS Question 18 - Week 4 Practice | Prasnya

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Q18Comprehension2 Marks6 Aug 2023

Passage

Based on the above data, answer the given subquestions. A weather forecaster wants to predict the rainfall in a local area in the month of July. Suppose a random variable

X

represents the amount of rainfall (in inches) in the local area and the PDF of

X

f(x)=\{k e^{-x/20},\ 0<x<\infty;\ 0,\ \text{otherwise}\}

Find the value of

k

such that

f(x)

is a valid PDF. Hint:

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

Q18

00:00

6 Aug 2023

Statistics 2 · Week 4

Q18.Find the value of

k

such that

f(x)

is a valid PDF. Hint:

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

.@passage

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