The number of complaints received by a business bureau can be represented by the following probability distribution. Find the expected number of complaints per day.

complaints per day -0,1,2,3,4,5
probability-0.01,0.11,0.26,0.28,0.19,0.12

can someone please help me figure out where to start here?

To find the expected number of complaints per day, you need to calculate the weighted average using the probability distribution provided. Here's how you can approach it:

1. Start by multiplying each complaint count by its corresponding probability:

0 complaints per day: (0 * 0.01) = 0
1 complaint per day: (1 * 0.11) = 0.11
2 complaints per day: (2 * 0.26) = 0.52
3 complaints per day: (3 * 0.28) = 0.84
4 complaints per day: (4 * 0.19) = 0.76
5 complaints per day: (5 * 0.12) = 0.60

2. Sum up the results from step 1:

0 + 0.11 + 0.52 + 0.84 + 0.76 + 0.60 = 2.83

3. The result obtained in step 2 is the expected number of complaints per day:

Expected number of complaints per day = 2.83

Therefore, the expected number of complaints per day is approximately 2.83.