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 \( X \)? \( X \sim N(144, 1.9) \)b. What is the distribution of \(\bar{x}\)? \(\bar{x} \sim N(144, \, \text{[standard deviation not provided]})\)c. For a single randomly selected steel rod, find the probability that the length is between 143.6 cm and 143.7 cm. (No further details provided)d. For a bundled of 48 rods, find the probability that the average length is between 143.6 cm and 143.7 cm. (No further details provided)e. For part d), is the assumption of normal necessary? Yes.

given data, normal distribution, μ=144σ=1.9n=48we have to find out the given probabilties

Answered: A company produces steel rods. The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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