A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 144- cm and a standard deviation of 1.9-cm. For shipment, 48 steel rods are bundled together. Round all answers to four decimal places if necessary. ✓1.9 a. What is the distribution of X? X-N144 b. What is the distribution of ? - NO 144 c. For a single randomly selected steel rod, find the probability that the length is between 143.6-cm and 143.7-cm. d. For a bundled of 48 rods, find the probability that the average length is between 143.6-cm and 143.7-cm. e. For part d), is the assumption of normal necessary? No Yes o

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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 144-
cm and a standard deviation of 1.9-cm. For shipment, 48 steel rods are bundled together. Round all
answers to four decimal places if necessary.
a. What is the distribution of X? X-N( 144
b. What is the distribution of ? N 144
c. For a single randomly selected steel rod, find the probability that the length is between 143.6-cm
and 143.7-cm.
1.9
d. For a bundled of 48 rods, find the probability that the average length is between 143.6-cm and
143.7-cm.
e. For part d), is the assumption of normal necessary? No Yes o
Transcribed Image Text:A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 144- cm and a standard deviation of 1.9-cm. For shipment, 48 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X-N( 144 b. What is the distribution of ? N 144 c. For a single randomly selected steel rod, find the probability that the length is between 143.6-cm and 143.7-cm. 1.9 d. For a bundled of 48 rods, find the probability that the average length is between 143.6-cm and 143.7-cm. e. For part d), is the assumption of normal necessary? No Yes o
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