A process that fills packages is stopped whenever a package is detected whose weight falls outside the specification. Assume that each package has probability 0.01 of falling outside the specification and that the weights of the packages are independent.
a. Find the mean number of packages that will be filled before the process is stopped.
b. Find the variance of the number of packages that will be filled before the process is stopped.
c. Assume that the process will not be stopped until four packages whose weight falls outside the specification are detected. Find the mean and variance of the number of packages that will be filled before the process is stopped.
Let be then number of packages that will be filled before the process is stopped.
Then Geom(0.01).
(a) 
(b) 
(c) Let be the number of packages up to and including the fourth one whose weight falls outside the specification.
Then NB(4, 0.01).
You might also like to view...
Flexors increase the angle of a joint, while the extensors decrease the angle of a joint.
Answer the following statement true (T) or false (F)
Answer the following statement(s) true (T) or false (F)
1. Allen-Bradley offers two types of counters: up counters (CTU) and down counters (CTD). 2. By only having one counter file, the MicroLogix 1000 is limited to 64 counters (counters 0 through 63). 3. Timers can be combined with counters when it is necessary to extend the time of the timer beyond its normal limits. 4. The same CU, CD, DN, OV, and UN bits are available on the Logix5000 counters as was available on the other Allen-Bradley counters. 5. If the accumulated value should exceed the upper limit, the overflow bit (OV) will be set and the counter then rolls over to -2,147,483,647 and begins counting up again.
Which of the following statements is LEAST-Likely true?
A. Scuffing on only one skirt is rarely caused by excessive idling. B. Four-corner scuffing occurs when both skirts are scuffed on the edges next to the piston pin. C. A piston that overheats because of cooling system problems or abnormal combustion will expand excessively near the piston pin. D. Scuffing on both skirts is usually caused by insufficient clearance between new pistons and remachined cylinder walls.
Technician A states hydraulic lifters are suitable for camshaft designs where the lifter is not required to actuate the pump action of unit injectors. Technician B states hydraulic lifters are not suitable for OHC designs.
A. Technician A only. B. Technician B only. C. Both A and B. D. Neither A nor B.