Given number of batteries = 1000
mean lifetime = 827 hours
standard deviation = 83 hours
According to Chebyshev's theorem, at least 36% of the lifetimes lie between ? hours and ? hours
round to the nearest integer.
Chebyshev's inequality states that P( |X - u| >= ks) = 1/(k^2) where u is the mean, s is the standard deviation and k is a real number.
If P = 36% then 1/(k^2) = 0.36 => k = 1.67
So |X - 827| >= (1.67)(83)
hence 827 - (1.67)(83) <= X <= 827 + (1.67)(83)
therefore at least 36% of the lifetimes lie between 688.67 and 965.33 hours.
Content will be erased after question is completed.
Enter the email address associated with your account, and we will email you a link to reset your password.
Forgot your password?