The temperature at any random location in a kiln used in the manufacture of bric

Question

The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 925 and a standard deviation of 50 degrees.
If bricks are fired at a temperature above 1110, they will crack and must be disposed of. If the bricks are placed randomly throughout the kiln, the proportion of bricks that crack during the firing process is closest to ______________.
(Note: Please enter your answer in decimal form. For example, 5.02% should be entered as 0.0502.)

Explanation / Answer

From information given, Xi=1110, Xbar=925, s=50. Substitute the values in following equation to obtain z score.

z=(Xi-Xbar)/s=(1110-925)/50=3.7

P(X>1110)=P(z>3.7)=0.0001

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