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Answer on Statistics and Probability Question for Sri

Question #26018

a) Yield strengths of circular tubes with end cups are measured. The first yields (in KN) are as follows: 96, 102, 104, 108, 126, 128, 150 and 156.

i. Calculate the sample average.

ii. Calculate the sample standard deviation.

b) Tests of line voltages to street lights show a mean of 118.5 V and a population standard
deviation of 1.20 V. Determine the percentage of data between 116 V and 120 V.

c) An electronic assembly is subjected to a final functional test. Suppose that defects occur at random in these assemblies, and that these defects occur according to a Poisson distribution with parameter .

i. What is the probability that an assembly will have exactly one defect?
ii. What is the probability that an assembly will have one or more defects?
iii. Suppose that you improve the process so that the occurrence rate of defects is
reduced to . What effect will this have on the probability that an
assembly will have one or more defects?
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