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1. Two large containers A and B of the same size are filled with different fluid

ID: 1720523 • Letter: 1

Question

1. Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.9° C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.)

2. A dead body was found within a closed room of a house where the temperature was a constant 69°F. At the time of discovery, the core temperature of the body was determined to be 90°F. One hour later a second measurement showed that the core temperature of the body was 85°F. Assume that the time of death corresponds to

t = 0

and that the core temperature at that time was 98.6°F. Determine how many hours elapsed before the body was found. (Round your answer to one decimal place.)
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Explanation / Answer

4 defects and 18 good

X - no of defects

P(X=2 ) = 4C2/18C2 = 2/51

=0.0392

P(X=0) = 14C2/18C2 = 0.5948

No this is not unusual

P(1 def and 1 reg) = 4(14)/18C2 = 0.3660