SOLUTION: A factory needs two raw materials, say E and F. The probability of not having an adequate supply of material E is 0.06, whereas the probability of not having an adequate supply of

Algebra ->  Probability-and-statistics -> SOLUTION: A factory needs two raw materials, say E and F. The probability of not having an adequate supply of material E is 0.06, whereas the probability of not having an adequate supply of       Log On


   



Question 460571: A factory needs two raw materials, say E and F. The probability of not having an adequate supply of material E is 0.06, whereas the probability of not having an adequate supply of material F is 0.04. A study shows that the probabilty of a sgortage of both E and F is 0.02. What is the probability of the factory being short of either material E or F?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The probability of not having an adequate supply of material E is 0.06, whereas the probability of not having an adequate supply of material F is 0.04.
----------
P(E') = 0.06 ; P(E) = 0.94
P(F') = 0.04 ; P(F) = 0.96
-------------------------------
A study shows that the probabilty of a shortage of both E and F is 0.02.
P(E' and F') = 0.02
-------------------------------
What is the probability of the factory being short of either material E or F?
--------
P(E' or F') = P(E')+P(F')-P(E' and F') = 0.06+0.04-0.02 = 0.08
============
Cheers,
Stan H.
============