The lifetime of TV is normal distributed with a mean of 4000 hours and standard deviation of 250. Kyle told us that the z-score for his TV’s lifetime is 1.85. Calculate the lifetime of Kyle’s TV. (Round to 1 decimal places).
Solution:
Given in the question
Lifetime of TV is normal distributed with
Mean()
= 4000 hours
Standard deviation ()=
250 hours
Z-score for his TV's lifetime = 1.85
So Lifetime of Kyle's Tv can be calculated as
Lifetime of Kyle's TV =
+ Z-score*
= 4000 + 1.85*250 = 4000 + 462.5 = 4462.5
So Lifetime of kyle's Tv is 4462.5 hours
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