Probability Density Function (pdf) for Stereo Cartridge Tracking Weight
What is the missing portion of the pdf?
What is the missing portion of the probability density function (pdf) for a stereo cartridge tracking weight that is set to track at 3g on a particular changer?
Options:
a) f(x) = 1/x
b) f(x) = 2/(x^2)
c) f(x) = 3/(x^3)
d) f(x) = 4/(x^4)
Final answer:
The missing portion of the probability density function for the given random variable can be determined by analyzing the total area under the graph of the function. Option d) f(x) = 4/(x^4) is the only choice that satisfies the necessary condition of the total area equaling one.
Explanation:
In this question, we are given the probability density function (pdf) for the random variable X, which represents the actual tracking weight of a stereo cartridge set to track at 3g on a particular changer.
The missing portion of the pdf can be determined by observing that the total area under the graph of the pdf should be equal to one. From the given options, only option d) f(x) = 4/(x^4) satisfies this condition. Therefore, the correct answer is option d).