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Presuming the distribution is normal, how many specimens are predicted to fail at less than 115 kcycles?

a) Cannot be determined with the given information.
b) 50% of the specimens.
c) 84% of the specimens.
d) 16% of the specimens.

1 Answer

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Final answer:

The answer to the question cannot be determined due to the lack of specific information such as mean, standard deviation, or percentile rank for 115 kcycles within the normal distribution.

Step-by-step explanation:

If we assume a normal distribution for the life span of specimens in kcycles (kilo cycles), then the percentage of specimens that fail at less than a certain point is determined by the position of that point relative to the mean and standard deviation of the distribution. According to the properties of a normal distribution, 50% of the values lie below the mean. However, without the mean and the standard deviation, we cannot specify the exact percentage at any other point. Nonetheless, if 115 kcycles is exactly one standard deviation below the mean, then approximately 16% of specimens would fail below this point because in a normal distribution, roughly 84% of the values lie above one standard deviation below the mean and 16% lie below it.

Unfortunately, for this question, the answer is a) Cannot be determined with the given information, because the mean and standard deviation, or the percentile rank of 115 kcycles, have not been provided.

User Ghilas BELHADJ
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