1) A manufacturer knows that their items have a normally distributed length, with a mean of...

1) A manufacturer knows that their items have a normally distributed length, with a mean of 9.8 inches, and standard deviation of 1.9 inches.
If 22 items are chosen at random, what is the probability that their mean length is less than 8.7 inches?

2) A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 211.7-cm and a standard deviation of 2-cm. For shipment, 19 steel rods are bundled together.
Find the probability that the average length of a randomly selected bundle of steel rods is between 211.3-cm and 212.2-cm.
P(211.3-cm < M < 212.2-cm) =

Expert Solution

orchestra answered 2 years ago

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