A company produces steel rods. The lengths of the steel rods arenormally distributed with a mean of 212.8-cm and a standard deviation of0.7-cm.Find the probability that the length of a randomly selected steel rod is lessthan 214.6-cm.P(X < 214.6-cm) =Enter your answer as a number accurate to 4 decimal places. Answersobtained using exact z-scores or z-scores rounded to 3 decimal places areaccepted.

Here, mean is 212.8 and standard deviation is 0.7. We will use z-standard normal distribution.

Answered: A company produces steel rods. The…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In Math 150 class the points of the final exam are normally distributedWith a mean of 72 and standard deviation of 10. The top 15% will receive an A gradeFind the lowest score in the final exam that would qualify a student for an A grade.
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The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.

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