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Expected Income vs. Number of Drum Lessons Provided

APSTAT-W$BTDF

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

# of Students (X) 12 13 14 15 16
p(X) 0.28 0.31 0.24 0.11 0.06



If David charges $\$85$ per lesson, what is his average weekly income?

A

$\$13.36$

B

$\$1105.00$

C

$\$1135.60$

D

$\$1185.85$

E

$\$1190.00$