#### GBANCE9390

##### New member

- Joined
- Apr 28, 2008

- Messages
- 1

QUESTION: A WEAPONS MANUFACTURER USES A LIQUID PROPELLANT TO PRODUCE GUN CARTRIDGES. DURING THE MANFACTURING PROCESS, THE PROPELLANT CAN GET MIXED WITH ANOTHER LIQUID TO PRODUCE A CONTAMINATED CARTRIDGE. A UNIVERSITY OF SOUTH FLORIDA STATISTICAN, HIRED BY THE COMPANY TO INVESTIGATE THE LEVEL OF CONTAMINATION IN THE STORED CARTRIDGES, FOUND 23% OF THE CARTRIDGES IN A PARTICULAR LOT WERE CONTAMINATED. SUPPOSE YOU RANDOMLY SAMPLE (WITHOUT REPLACEMENT) GUN CARTRIDGES FROM THIS LOT UNTIL YOU FIND A CONTAMINATED ONE.

LET X BE THE NUMBER OF CARTRIDGES SAMPLED UNTIL A CONTAMINATED ONE IS FOUND. IT IS J=KNOWN THAT THE PROBABILITY DISTRIBUTION FOR X IS GIVEN BY THE FORMULA.

P(X)=(.23)(.77)x-1, X=1,2,3

B. FIND P(5) INTERPRET THE RESULT

C. FIND P(X GREATER THAN OR EQUAL TO 2) INTERPRET THE RESULT