the issue D. Find the conditional probability that the selected voter is an Inde
ID: 3305448 • Letter: T
Question
the issue D. Find the conditional probability that the selected voter is an Independent gliven that favor the issue (d)Given that the randomly selected voter favors the issue, what is the most pr of the voter? obable a party a (2) (16 pts; 4 pts each) Two switches (1) anc switch (3) have the probabilities of working : P(1)-P (2) = when the switches are turned on are connected in series in a line that is connected in parallel to a third as shown in the diagram below. These switches work independently when turned on and .8; PC3) = .9 DIAGRAM (a) Find the probability that the current will flow thru the circuit (b)Find the probability that no current will flow thru the circuit Find the probability that the current will flow thru both branches of the circuit. (d) Find the probability that the current will flow thru exactly one branch of the circuitExplanation / Answer
probability that 1 and 2 switch work =P12 =0.8*0.8 =0.64
probability that switch 3 will work P3 =0.9
a) probability that current will flow =1-P( none of series work) =1-(1-P12)*(1-P3)=1-(1-0.64)*(1-0.9)=0.964
b)probability no current wil flow =1-P( current will flow) =1-0.964 =0.036
c)probability that current will flow through both branches =0.64*0.9=0.576
d) probability current will flow through exactly one branch =P( flow through 12 and did not through 3+flow through 3 and did not through 12) =0.64*(1-0.9)+0.9*(1-0.64)=0.388
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