Question

(MRH Ch03-1002A) PDF calculate k

You have the following function. Assume you know it's a pdf, and you are given that 0 <= x <= 9. What is the value of k? Enter your answer to at least 4 decimal places.
f(x)=k (9+ 7x)
Selected Answer: [None Given]
Correct Answer: 0.0027 +0.001
Response Feedback: See MRH p. 72, Problem 3-21(b).

Answer 1

To find the value of k, we need to normalize the given function f(x) such that the area under the curve equals 1. Since f(x) is a PDF, we can integrate it from 0 to 9 and set the result equal to 1.

Step-by-step explanation:

To find the value of k, we need to normalize the given function f(x) such that the area under the curve equals 1. Since f(x) is a PDF, we can integrate it from 0 to 9 and set the result equal to 1:

∫[0,9] k(9 + 7x) dx = 1

Solving this integral equation will give us the value of k.