Answer:
14,800 people are expected to attend the concert
Step-by-step explanation:
In this question, we are tasked with calculating the expected number of people that will attend a concert on a particular day.
The key to answering this question is to multiply the individual probabilities of the two events by the expected number of people
Mathematically, what we obtain is the following;
The expected number of people at the concert = (probability of raining × expected number of people when it rains) + (probability of not raining × Expected number of people when it does not rain)
From the question, we identify that;
Probability of raining = 30% = 30/100 = 0.3
Probability of not raining = 1-probability of raining = 1-0.3 = 0.7
Expected number of people when it rains = 5,000
Expected number of people when there is no rain = 19,000
we plus these vales into the equation we have;
The expected number of people at the concert =( 0.3 × 5,000) + (0.7 × 19,000) = 1,500 + 13,300 = 14,800 people
because you multiply fractions straight across.