Question
A television network. Network A, is scheduling its fall lineup of shows. Far the Tuesday night 8 p.m. slot Network A has selected to top show if its rival network, Network B, schedules its top show during the same time slot, Network A estimates that it will get 1.2 million viewers. However, if Network B schedules a different show during that time slot, Network A estimates that it will get 1.6 million viewers Network A believes that probability that Network B will air their top show is 0 4 and the probability that Network B will air another show is 0.6 Determine the expected number of viewers for Network A's top show Network A expects that million people will watch their show (Type an integer or a decimal)
Explanation / Answer
Expected no. of Viewers = P(A) X VA + P(B) X VB
VA - No. of viewers in scenario A = 1.2 Mn
VB - No. of viewers in scenario B = 1.6 Mn
P(A) - Probability of scenario A = 0.4
P(B) - Probability of scenario B = 0.6
Expected no. of Viewers = 0.4 x 1.2 + 0.6 x 1.6 = 1.44 Mn
Expected Viewes are 1.44 Mn