Problem $3$: A graduating MIE student goes to a career fair, and their likelihood of receiving an

interview invitation at a booth visit depends on how well they did in MIE$263($interviews will be

immediately scheduled for a later date$).$ Specifically, an A in MIE$263$ results in a probability p $=$

$0\mathrm{.}99$ of obtaining an interview invitation, whereas a C in MIE$263$ results in a probability p $=0\mathrm{.}12$

of an invitation. Assume that the outcomes of different booth visits are independent