For the distribution of component lifetimes in Example 13.13 find the proportion of components that last longer than 6000 hours.

Data from Example 13.13 

The lifetime of an electronic component (in thousands of hours) is a continuous random variable with probability density function

(This is an example of an exponential distribution with parameter 1/2.) Plot the distribution and density functions.

for x ≥ 0, and zero for x The distribution and density functions show that most components have short lifetimes, but a small proportion can survive for much longer.

Transcribed Image Text:

fx(x) = e-x/ (x=0) 0 (x < 0)