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Mechanico Ltd produce many different specialist components for industry. One suc

ID: 1892699 • Letter: M

Question

Mechanico Ltd produce many different specialist components for industry. One such component that is made are pipe sections used in commercial chemical manufacturing. 78T is a particular type of pipe that should have a diameter of 78 inches. It is known that the deviations from this size follow a normal distribution with mean 3.36 inches and variance 10.758. Let X be the continuous random variable that describes the amount of deviation (in inches) from the required diameter size. In answering the following questions, you may find this standard normal table useful.

a)Calculate the probability that X ? 4.8 (Probability(X ? 4.8)) for a randomly selected pipe section. Give your answer as a decimal to 4 decimal places.

Probability(X ? 4.8) =

b)Calculate the probability that X ? 4.8 (Probability(X ? 4.8)) for a randomly selected pipe section. Give your answer as a decimal to 4 decimal places.

Probability(X ? 4.8) =

c)Calculate the probability that X = 4.8 (Probability(X = 4.8)) for a randomly selected pipe section. Give your answer as a decimal to 4 decimal places.

Probability(X = 4.8) =

Explanation / Answer

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