A Jonny Roadhouse music sells guitars. The guitars come in three different brands: Fender, Gibson, and Ibanez. Fender constitutes 36% of the store's inventory, Gibson constitutes 27%, and Ibanez constitutes 37%. Jonny carries out a satisfaction survey. The results show that 87% of customers who purchase Fender guitars are satisfied (P(S | F)), 82% for Gibson (P(S | G)), and 69% for Ibanez (P(S | I)). a) If a customer is satisfied with their guitar, what is the probability they purchased a Fender (P(F | S)). Hint: use Bayes' Theorem.