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kicyunya [14]
3 years ago
15

The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 1000 a

nd a standard deviation of 50°F. When glazed bricks are put in the oven, if the temperature is below 900°F they will miscolor. If the bricks are placed randomly throughout the kiln, the proportion of glazed bricks that miscolor is closest to Group of answer choices
a. 49.38%.
b. 2.28%.
c. 47.72%.
d. 0.62%.
Mathematics
1 answer:
NeX [460]3 years ago
7 0

Answer:

b. 2.28%.

Step-by-step explanation:

Mean temperatue (μ) = 1000°F

Standard Deviation (σ) = 50 °F

For any temperature value, X, the z-score is given by:

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

For X= 900°F

z=\frac{900-1000}{50}\\z=-2.0

A z-score of -2.0 corresponds to the 2.28-th percentile of a normal distribution. Therefore, the probability that X<900 is:

P(X

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