ZuoTi.Pro
Question

The thickness of a printed circuit board is required to lie between the specification limits 0.150 ± 0.004 cm. A machine produces circuit boards with a thickness that is normally distributed with mean 0.151 cm and standard deviation 0.003 cm. a) What is the probability that the thickness X of a circuit board produced by this machine will fall within the specification limits? b) Now consider the mean thickness X- (X1 +X2 + ..+X25)/25 for a batch of 25 circuit boards. What is the probability that this batch mean will fall within the specification limits? (Assume that X1, X2, , X25 are independent random variables with the same distribution as X above.)

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

a) The probability that the thickness X of a circuit board produced by this machine will fall withing the specification limits is

P(0.150 ±0.004)= P(0.146 <X <0.154)-Pl -40-μ (0.146-0.151 Ζ<0.154-0.151 0.003 0.003 = P(-1.6667 <Z <1) = P(Z <1)-P(Z <-1.667) = 0.84134-0.04776=0.79358 from normal distribution tables

b) The probability that the thickness Xbar of a circuit board produced by this machine will fall withing the specification limits is

P(0.150±0.004)- p(0. 146-0. 151ノワ. O154-0. 151 0.003/250003/25 = P(-8.3333 < Z < 5) = P(Z < 5)-P(Z <-8.333) 1-0 = 1、from normal distribution tables

0 0
Add a comment
Know the answer?
Add Answer to:
The thickness of a printed circuit board is required to lie between the specification limits 0.150...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Problem 2 The thickness of a printed circuit board is an important quality characteristic. Data on...

    Problem 2 The thickness of a printed circuit board is an important quality characteristic. Data on board thickness (in inches) are given in Table 5E.1 (The table has been uploaded to Folio) for 25 subgroups of three boards each. (a) [Pencil version] Set up an R chart by computing the initial set of seven lines (USL, UWL, UOL, CL, LOL, LWL, and LCL). Is the process variability in statistical control? Use the 9 rules. Note: You are not asked to...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT