A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.2 years, and standard deviation of 0.5 years. If you randomly purchase one item, what is the probability it will last longer than 1 years?
Is there a formula to input this into my calc?
The distribution given here is:
The required probability here is computed as:
P(X > 1)
Converting it to a standard normal variable, we get:
Getting it from the standard normal tables, we get:
Therefore 0.9918 is the required probability here.
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.2...
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