Question

David is a drummer who gives private lessons. The number of lessons he gives each week varies according to the probability distribution shown below

Answer 1

The average weekly income is 1135.6. Option C is correct.

Calculating the expected value :

• ∑x*p(x)

Now we have ;

12*0.28 + 13*0.31 + 14*0.24 + 15*0.11 + 16*0.06 = 13.36

If $85 is charged per lesson, The weekly income would be :

• 85 × 13.36 = 1135.6

Hence, the average weekly income is 1135.6