A television network, Network A, is scheduling its fall lineup of shows. For the Tuesday night 8 p. m. slot, Network A has selected its top show. If its rival network, Network B, schedules its top show during the same time slot, Network A estimates that it will get 1.1 million viewers. However, if Network B schedules a different show during that time slot, Network A estimates that it will get 1.9 million viewers. Network A believes that the probability that Network B will air their top show is 0.7 and the probability that Network B will air another show is 0.3. Determine the expected number of viewers for Network A's top show.

1,280,000 (1.28 million.)

Step-by-step explanation:

If Network B schedules its top show (with a probability of 0.7), Network A will get 1.1 million viewers.

If Network B schedules a different show during that time slot, (with a probability of 0.3), Network A will get 1.9 million viewers.

Therefore, the probability distribution table of number of viewers of Network A is:

Therefore, the expected number of viewers for Network A's top show

= (1100000 X 0.7) + (1700000 X 0.3)

=1,280,000

The expected number of viewers for Network A's top show is 1.28 million.

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step-by-step explanation: