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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.3...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.3 years, and standard deviation of 0.6 years.

The 6% of items with the shortest lifespan will last less than how many years?

Give your answer to one decimal place.

Math   Statistics-And-Probability   
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Answer #1

First of all, we need to use the standard normal table to see what value if z will have 6% of the area (probability) to the left of it OR use excel formula "=NORM.S.INV(0.06)" to find the z-score.

We see that the z value is approximately z=-1.55.

Now, all we have to do is calculate the value of x that corresponds to the value of z. We have

Round the answer o one decimal place.

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