Answered: A company producing steel nails…

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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1. A company producing steel nails receives an order for 5000 nails of length of 50 mm. Due to external factors such as temperature and pressure, the lengths of the nails produced by the machine is normally distributed with a standard deviation of 1.6 mm. Acceptable lengths (lengths that any customer will consent to buy) must have a tolerance of 2 mm. If the machine is set to produce nails with a mean length of 5.0 cm, determine the percentage of nails that are acceptable. A. 0.7888 B. 0.8877 C. 0.9921 D. 0.7878 2. Further to the information provided in question one (1) above, we are informed that nails that are produced shorter than the minimum acceptable length have to be scrapped. Consider that 4.8 cm is still the minimum threshold for acceptable nail length. If the cost to produce one nail is 45 cents, how much does the company incur in Rand losses due to scrapping? A. R247.70 B. R347.91 C. R237.60 D. R471.99 3. Further considering information given in question 1 and 2 above, if no more than 2% of nails are to be scrapped, what should the new mean be set at in millimeters. Assume that the standard deviation remains unchanged. A. 51.28 B. 52.21 C. 68.92 D. 69.28

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Consider this question stem for this current question [13] and the next question [14]. Statistics show that 40% of men renew their car licenses after the deadline date. Assume that this statistic is true and consider seven randomly selected men. Determine the probability that exactly 3 men renew their car licenses after the deadline date.
A. 0.39
B. 0.41
C. 0.29
D. 0.31

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