Solution Found!
Determine the cumulative distribution function
Chapter 4, Problem 32E(choose chapter or problem)
Determine the cumulative distribution function for the random variable in Exercise 4-14. Use the cumulative distribution function to determine the probability that the random variable is less than 55.
4-14. The distribution of X is approximated with a triangular probability function \(f(x)=0.025 x-0.0375\) for \(30<x<50\) and \(f(x)=-0.025 x+0.0875\) for \(50<x<70\). Determine the following:
\(P(X \leq 40)\)\(P(40<X \leq 60)\)Value x exceeded with probability 0.99.Equation transcription:
Text transcription:
f(x)=0.025 x-0.0375
30<x<50
f(x)=-0.025 x+0.0875
50<x<70
P(X \leq 40)
P(40<X \leq 60)
Questions & Answers
QUESTION:
Determine the cumulative distribution function for the random variable in Exercise 4-14. Use the cumulative distribution function to determine the probability that the random variable is less than 55.
4-14. The distribution of X is approximated with a triangular probability function \(f(x)=0.025 x-0.0375\) for \(30<x<50\) and \(f(x)=-0.025 x+0.0875\) for \(50<x<70\). Determine the following:
\(P(X \leq 40)\)\(P(40<X \leq 60)\)Value x exceeded with probability 0.99.Equation transcription:
Text transcription:
f(x)=0.025 x-0.0375
30<x<50
f(x)=-0.025 x+0.0875
50<x<70
P(X \leq 40)
P(40<X \leq 60)
ANSWER:Step 1 of 2
The probability density function of the measurement of error given in Exercise 4-14 is,
The cumulative distribution function of a continuous random variable X is,
