Answer:
The percent of the problems did Dewayne answer correctly = 86.6%
Step-by-step explanation:
Given DeWayne missed four of the 30 problems on the problem set
let "E" be the event of missing problem set P(E) = [tex]\frac{4}{30}[/tex]
Let [tex]E^{-}[/tex] be the event of DeWayne answer correctly
P([tex]E^{-}[/tex]) = 1 - p(E)
= [tex]1- \frac{4}{30}[/tex]
= [tex]\frac{30-4}{30}[/tex]
= [tex]\frac{26}{30}[/tex] = 0.866
The percent of the problems did Dewayne answer correctly = 86.6%