?A machine produces a component with a mean length of 300 cm and a standard...
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?A machine produces a component with a mean length of 300 cm and a standard deviation of 25 cm.
(i) Find the probability that a randomly selected component is longer than 325 cm.
(ii) A random sample of 4 manufactured components is drawn and their length recorded. Describe the probability distribution of the mean length of the sample, and find the probability that the mean length of the sample is longer than 325 cm.
(iii) What assumption do you have to make in your calculations above?
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