A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 211.4- cm and a standard deviation of 1-cm. For shipment, 35 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? - N( c. For a single randomly selected steel rod, find the probability that the length is between 211.2-cm and 211.5-cm. d. For a bundled of 35 rods, find the probability that the average length is between 211.2-cm and 211.5- cm. e. For part d), is the assumption of normal necessary? Yes No > Next Question

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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 211.4-
cm and a standard deviation of 1-cm. For shipment, 35 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? - N(
c. For a single randomly selected steel rod, find the probability that the length is between 211.2-cm and
211.5-cm.
d. For a bundled of 35 rods, find the probability that the average length is between 211.2-cm and 211.5-
cm.
e. For part d), is the assumption of normal necessary? Yes No
> Next Question
Transcribed Image Text:A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 211.4- cm and a standard deviation of 1-cm. For shipment, 35 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? - N( c. For a single randomly selected steel rod, find the probability that the length is between 211.2-cm and 211.5-cm. d. For a bundled of 35 rods, find the probability that the average length is between 211.2-cm and 211.5- cm. e. For part d), is the assumption of normal necessary? Yes No > Next Question
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