Question

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.

Answer 1

Answer:

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