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Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
So
A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Answer:
c) The series diverges. There is no sum.
Step-by-step explanation:
A geometric series is a series of the form:
,
Where:
- First term of the series, dimensionless.
- Common ratio, dimensionless.
A geometric series converges only if . As
, the geometric series diverges. Hence, the right answer is C.