Question 13 - Week 4 Practice

Question 13

00:00Est. 2 min

Marks:+2.000.00

Passage

Based on the above data, answer the given subquestions. A machine produces metal rods in a factory. Let a random variable

X

denote the length (in cm) of a randomly selected rod and let it be modeled by the following probability density function:

f_X(x)=\begin{cases}k(5-x), & 0\le x\le5,\\0, & \text{otherwise.}\end{cases}

Question

Find the value of

k

. Enter the answer correct to two decimal places.

Comprehension

Easy Difficulty

27 October 2024

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