An average pen manufactured by the F&M Corporation lasts 400 days with a standard deviation of 40 days. Assuming that pen life is normally distributed, what is the probability that such a pen will last at least 440
days?

The probability that the pen will last at least 440 days is 0.1587

Step-by-step explanation:

Given that

Mean = μ = 400 days

SD = σ = 40 days

Now we have to find the probability of a data point X = 440

For that first of all we have to find the z-score of the value

z-score is found using the formula

Putting the values of x, mean and SD we will get,

At least 440 means that either 440 or greater than this, hence, we have to find area to the right of z=1

For that

Hence,

The probability that the pen will last at least 440 days is 0.1587

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