For potential partial credit, show all work and do not leave anything blank 11.
ID: 3276757 • Letter: F
Question
For potential partial credit, show all work and do not leave anything blank 11. Use the following information to answer the probability questions (Hint: matrix!]. P(A) = 0.4, P(B) = 0.3, P(An B) = 0.2 a. P(AUB) b. P(ALB) e. Are A and B independent? You MUST show work (a yes or no answer with no work shown w earn no points) Extra Credit worth up to 5 points: You're asked the following: "What is your name? What is y o quest? What is the airspeed velocity of an unladen swallow?" what kind of experiment could you design test for differences in airspeed velocities of unladen swallows?Explanation / Answer
SolutionA:
P(AUB)=P(A)+P(B)-P(A and B)
From additional theorem on probability
=0.4+0.3-0.2
=0.7-0.2
=0.5
P(AUB)=0.5
SolutionB:
P(A/B)=P(A and B)/P(B)
=0.2/0.3
=2/3
=0.6667
Solutionc:
P(Ac and Bc )=1-P(A U B)
=1-0.5
=0.5
SolutionE:
If A and B are independent then
P(A and B)=P(A).P(B)
We have LHS=P(A and B)=0.2
RHS=P(A).P(B)=0.4*0.3=0.12
LHS IS NOT = RHS
A and B are not independent
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