For an outdoor concert by the city orchestra, concert organizers estimate that 17,000 people will attend if it is not raining. If it is raining, concert organizers estimate that 4,000 people will attend. On the day of the concert, meteorologists predict a 70 % chance of rain. Determine the expected number of people who will attend this concert.

Expected number of people in concert = 7900 people

Step-by-step explanation:

We have given,

In an concert,

if it's not raining, number of people will attend concert = 17000 people

If it's raining, then number of people will attend concert = 4000 people

Since, probability of raining = 70% = 0.7

Then probability of not raining = 30% = 0.3

So,

Expected number of people in concert = 0.3 * 17000 + 0.7 * 4000

Expected number of people in concert = 5100 + 2800

Expected number of people in concert = 7900 people