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It is known that the length of a certain steel rod is normally distributed with a...

It is known that the length of a certain steel rod is normally distributed with a mean of 100cm and a standard deviation of 0.45 cm.

a)What is the probability that a randomly selected steel rod has a length less than 98.4 cm? Interpret your result.

b) What is the probability that a randomly selected steel rod has a length between 98.4 and 100.6 cm? Interpret your result.

c) Suppose the manufacturer wants to accept 80% of all rods manufactured. Determine the length of rods that make up the middle 80% of all steel rods manufactured.

Math   Statistics-And-Probability   
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