ECE4001+Homework3

ECE4001+Homework3 - Homework 3: Statistical Applications...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Homework 3: Statistical Applications Problem 1. (20 points, 10 points each): Probability and Statistics a. A process is developed to manufacture glass beakers. The beakers are made to have a mean inside diameter of 7.50 cm. To measure the volume, and a graticule line is etched to indicate the height of the solution contained, and hence the volume (Note that V = π d 2 h/ 4 and 1 mL = 1 cm 3 ). A nominal height of h = 11.32 cm corresponds to a measured volume of 500 ml . There are variations in both diameter and the height of the gradicule mark in the manufacturing process. Suppose that the diameter has a standard deviation of the diameter of σ d = 0.2 cm, and a standard deviation of the height is h = 0.1 cm . Calculate the standard deviation of the volume of the beaker. b. A set of 10 8 ft long 2 in. x 4 in. pine boards are laid end-to-end on a flat surface. If each board has a length variation of l = 0.5 in., what is the likelihood that the set of boards will exceed a total length of
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online