# Question: Three parts are assembled in series so that their critical

Three parts are assembled in series so that their critical dimensions x1, x2, and x3 add. The dimensions of each part are normally distributed with the following parameters:

1 100,1 4, 2 75, 2 4, 3 75, 3 2 .

What is the probability that an assembly chosen at random will have a combined dimension in excess of 262?

1 100,1 4, 2 75, 2 4, 3 75, 3 2 .

What is the probability that an assembly chosen at random will have a combined dimension in excess of 262?

**View Solution:**## Answer to relevant Questions

Two parts are assembled as shown in the figure. The distributions of x1 and x2 are normal, with 1 20,1 0.32 19.6, 2 0.4 . The specifications of the clearance between the mating parts are 0.5 ...Two resistors are connected to a battery as shown in the figure. Find approximate expressions for the mean and variance of the resulting current (I). E, R1, and R2 are random variables with means E ,R 1 ,R2 and ...How large a sample is required to obtain a natural tolerance interval that has probability 0.90 of containing 95% of the distribution? After the data are collected, how would you construct the interval? The data in Table 9E.1 represent individual observations on molecular weight taken hourly from a chemical process. The target value of molecular weight is 1,050 and the process standard deviation is thought to be about σ = ...Consider the “minute clinic” waiting time data in Exercise 6.66. Set up an EWMA control chart for monitoring this process using = 0.4. Compare this EWMA chart to the one from Exercise 9.16.Post your question