SOLUTION: Can someone help me with these problems thanks.. Problems #1 Using venn diagram Let P(Z) = 0.42 P(Y) = 0.35 P (Z U Y) = 0.61 fIND EACH PROBABILITY: a) P(Z' (UPSIDE D

Algebra ->  Probability-and-statistics -> SOLUTION: Can someone help me with these problems thanks.. Problems #1 Using venn diagram Let P(Z) = 0.42 P(Y) = 0.35 P (Z U Y) = 0.61 fIND EACH PROBABILITY: a) P(Z' (UPSIDE D      Log On


   



Question 86639: Can someone help me with these problems thanks..
Problems #1
Using venn diagram
Let P(Z) = 0.42
P(Y) = 0.35
P (Z U Y) = 0.61
fIND EACH PROBABILITY:
a) P(Z' (UPSIDE DOWN U) Y')
b) P(Z' U Y')
c) P(Z' U Y)
d) P(Z (UPSIDE DOWN U) Y')

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Problems #1
Using venn diagram
Let P(Z) = 0.42
P(Y) = 0.35
P (Z U Y) = 0.61
fIND EACH PROBABILITY:
a) P(Z' (UPSIDE DOWN U) Y')
b) P(Z' U Y')
c) P(Z' U Y)
d) P(Z (UPSIDE DOWN U) Y')
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Draw two intersecting circles within a rectangle.
Label one circle Z with probability label 0.42
Label the other circle Y with probability label 0.35
Label Y intersect Z with probability 0.07
Label Y intersect Z' with probability 0.35-0.07 = 0.28
Label Z intersect Y' with probability 0.42-0.07 = 0.35
Label (Z union Y)'= 0.30
---------------------------
a) P(Z' intersect Y') = (Z U Y)' = 0.30
b) P(Z' U Y') = (Z intersect Y)' = 0.93
c) P(Z' U Y) = (Z intersect Y') = 0.35
d) P(Z (UPSIDE DOWN U) Y')= 0.35
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Cheers,
Stan H.