Question

WILL GIVE METAL!! AND FAN!!
A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and receives a report assessing favorable or unfavorable viewer response. In the past, 60% of the network's shows have received a favorable response from viewers, and 40% have received an unfavorable response. If 50% of the network’s shows have received a favorable response and have been successful, and 30% of the network’s shows have received

Answer 1

an unfavorable response and have been successful, what is the probability that this new show will be successful if it receives a favorable response?

Answer 2

put A is the event the show is successful B is the event the show receives a favorable response and write the probability of A given B as
\[P(A|B)=\frac{P(A\cap B)}{P(B)}\]

Answer 3

both the numbers on the right are given to you
\(P(B)\) is the probability that a show receives a favorable response. you are told it is \(60\%=.6\)

Answer 4

\[P(A\cap B)\] is the probability that it is successful AND receives a favorable response
you are told this is \(50\%=.5\) in this line
50% of the network’s shows have received a favorable response and have been successful

Answer 5

your last job is to compute
\[\frac{P(A\cap B)}{P(B)}\] which in this case is \(\frac{.5}{.6}=\frac{5}{6}\)

Answer 6

the options are
0.41
0.53
0.67
0.70
0.83

Answer 7

83 :)