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Irina18 [472]
4 years ago
13

For a specific type of machine part being produced, the diameter is normally distributed, with a mean of 15.000 cm and a standar

d deviation of 0.030 cm. Machine parts with a diameter more than 2 standard deviations away from the mean are rejected. If 15,000 machine parts are manufactured, how many of these will be rejected?
a. 560
b. 680
c. 750
d. 970
Mathematics
2 answers:
Savatey [412]4 years ago
8 0

Answer:

The answer is 750

Step-by-step explanation:

Verizon [17]4 years ago
6 0
This problem involves Statistics. When you are talking about the number of deviations, you directly refer to what we called the Empirical Rule.

The empirical rule states that 95% of the values will lie within 2 standard deviations of the mean. So 100% - 95% = 5% of the parts will be rejected. So
(0.05)*(15,000) = 750

Therefore, 750 machine parts are rejected. Hope this helps! :D
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