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In: Statistics and Probability

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3 years, and standard deviation of 0.5 years.

If you randomly purchase one item, what is the probability it will last longer than 11 years?

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Expert Solution

A manufacturer knows that their items have a normally distributed lifespan with mean of 10.3 years & standard deviation of 0.5 years.

So, = 10.3, = 0.5

We have to calculate the probability that the randomly selected item will last longer than 11 years, i.e. P(X>11) -

   

So, the probability that the randomly selected item will last longer than 11 years is 0.0808,

orchestra answered 1 year ago
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