Answer:
93.7% of the lifetimes are within 3.8 standard deviations of the mean
Step-by-step explanation:
Generally Chebyshev's Theorem, can be mathematically represented as
[tex]1 - \frac{1}{k^2}[/tex]%
The percentage of these lifetimes that are within k=3.8 standard deviations of the mean is mathematically evaluated using Chebyshev's Theorem as follows
[tex]1 - \frac{1}{k^2}[/tex]% [tex]= (1 - \frac{1}{3.8^2} )[/tex]% = [tex]= 93.07[/tex]%
So from the above calculation we see that 93.7% of the lifetimes are within 3.8 standard deviations of the mean
