Mathematical structures

Question

For an outdoor concert by the city orchestra, concert organizers estimate that 16,000 people will attend if it is not raining. If it is raining concert organizers estimate that 5000 people will attend. On the day of the concert meteorologists predict a 90% chance of rain. Determine the expect number of people who will attend this concert.

it is expected that ________ people will attend the concert.

Answer 1

Expected number is a weighted average.

weight 5,000 by 90% and weight 16,000 by 10%

.9(5000) + .1(16000)

= 4500 +1600

=6,100 people expected