A television network, Network A, is scheduling its fall

Last updated: 8/14/2022

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 1.5 million viewers. Network A believes that the probability that Network B will air their top show is 0.3 and the probability that Network B will air another show is 0.7. Determine the expected number of viewers for Network A's top show.