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il63 [147K]
2 years ago
13

The temperature at any random location in a kiln used for manufacturing bricks is normally distributed with a mean of 1000°f and

a standard deviation of 50°f. when glazed bricks are put in the oven, if the temperature is below 900°f, they will discolor. if the bricks are placed randomly throughout the kiln, what percentage of glazed bricks will discolor?
Mathematics
1 answer:
olga2289 [7]2 years ago
5 0

Solution: We are given:

Temperature at any random location in a kiln used for manufacturing bricks is normally distributed with mean \mu=1000, standard deviation \sigma =50

We have to find the percentage of glazed bricks that will discolor. A brick will discolor if the temperature is below 900°f.

Therefore, we have to find P(x

Using the z score formula, we have:

z=\frac{x-\mu}{\sigma}

        =\frac{900-1000}{50}

        =\frac{-100}{50}=-2

Now we have to find P(z

Using the standard normal table, we have:

P(z

                  =2.28\%

Therefore, 2.28% of glazed bricks will discolor.

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