A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 102.7-cm and a standard deviation of 1.2-cm. For shipment, 45 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of x? x - N( c. For a single randomly selected steel rod, find the probability that the length is between 102.4-cm and 102.7-cm. d. For a bundled of 45 rods, find the probability that the average length is between 102.4-cm and 102.7-cm. e. For part d), is the assumption of normal necessary? Yes No

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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 102.7-cm and a standard deviation of 1.2-cm. For shipment, 45 steel rods are bundled together. Round all answers to four decimal places if necessary.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of
102.7-cm and a standard deviation of 1.2-cm. For shipment, 45 steel rods are bundled together. Round all
answers to four decimal places if necessary.
a. What is the distribution of X? X - N(
b. What is the distribution of x? x NO
c. For a single randomly selected steel rod, find the probability that the length is between 102.4-cm
and 102.7-cm.
d. For a bundled of 45 rods, find the probability that the average length is between 102.4-cm and
102.7-cm.
e. For part d), is the assumption of normal necessary? Yes No
Transcribed Image Text:A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 102.7-cm and a standard deviation of 1.2-cm. For shipment, 45 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of x? x NO c. For a single randomly selected steel rod, find the probability that the length is between 102.4-cm and 102.7-cm. d. For a bundled of 45 rods, find the probability that the average length is between 102.4-cm and 102.7-cm. e. For part d), is the assumption of normal necessary? Yes No
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