A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 171.7- cm and a standard deviation of 1.4-cm. For shipment, 9 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 a? - NO c. For a single randomly selected steel rod, find the probability that the length is between 171.3-cm and 171.8-cm. d. For a bundled of 9 rods, find the probability that the average length is between 171.3-cm and 171.8-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 171.7-
cm and a standard deviation of 1.4-cm. For shipment, 9 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 a? - NO
c. For a single randomly selected steel rod, find the probability that the length is between 171.3-cm and
171.8-cm.
d. For a bundled of 9 rods, find the probability that the average length is between 171.3-cm and 171.8-cm.
e. For part d), is the assumption of normal necessary? Yes No
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Transcribed Image Text:A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 171.7- cm and a standard deviation of 1.4-cm. For shipment, 9 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 a? - NO c. For a single randomly selected steel rod, find the probability that the length is between 171.3-cm and 171.8-cm. d. For a bundled of 9 rods, find the probability that the average length is between 171.3-cm and 171.8-cm. e. For part d), is the assumption of normal necessary? Yes No Question Help: Message instructor Submit Question
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