Company A joined a concrete cylinder contest. The strength of their concrete cylinder is normally distributed with mean 80 and standard deviation of 20 kips. The judging day of the contest arrives and 20 companies have joined. The strength of the concrete cylinders will be tested using a certain machine and it has been decided that company A will be tested last. The 2 highest scores so far are 100 and 70 kips. 1) Determine the probability that company A will be the second place winner. 2) Imagine that company A's cylinder is tested, and it has not shown any sign of distress at a load of 90 kips. Determine the probability that company A will win first place. 3) Company A sent a similar cylinder to another contest. Company B also joined that other contest and their cylinder's strength is expected to be 1% higher than Company A, however their coefficient of variation is 50% higher. Who is more likely to win in this contest?
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Company A joined a concrete cylinder contest. The strength of their concrete cylinder is
The judging day of the contest arrives and 20 companies have joined. The strength of the concrete cylinders will be tested using a certain machine and it has been decided that company A will be tested last. The 2 highest scores so far are 100 and 70 kips.
1) Determine the
2) Imagine that company A's cylinder is tested, and it has not shown any sign of distress at a load of 90 kips. Determine the probability that company A will win first place.
3) Company A sent a similar cylinder to another contest. Company B also joined that other contest and their cylinder's strength is expected to be 1% higher than Company A, however their coefficient of variation is 50% higher. Who is more likely to win in this contest?
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