L - team will lose
C -complain
P(L) = 0.44
P(C) = 0.51
P(C and L) = 0.31
a)
P(C|L) = P( C and L)/P(L)
= 0.31/0.44
= 0.704545
b)
P(L|C) = P(C an L)/P(C) = 0.31/0.51
= 0.6078431
c)
P(Win) = 1- P(L) = 1 - 0.44 = 0.56
d)
P(C'| L) = P(C' and L) /P(L)
= ( P(L) - P(L and C)) / 0.44
= ( 0.44- 0.31)/ 0.44
= 0.295454
Please rate
Hannah coaches a youth soccer team in Bowling Green. Tomorrow night, they have a game. Suppose there is a 36% chance that her team will lose. Regardless of whether her team loses, Hannah figures there is a 51% chance that a parent will complain about something to her after the game. From previous seasons, Hannah knows that the probability that her team loses and a parent complains is 25%. (Hint: Organize and label the given information first before starting. Write out...