1. [6 marks]Consider a casino game, `Quick Draw'. In this game, a player pays $10 to play. The player picksone card from a standard pack of 52 cards (i.e. there are four A's and four K's in a standard pack of 52cards).IftheplayergetsanAce,theywin$55(i.e.theprofitis$45);iftheplayerselectsaKing,theywin

$35(i.e.theprofitis$25).Otherwise,theplayerwinsnothingandalsolosesthebetof$10.LettherandomvariableXrepresenttheplayer'sprofitonasingleplay of'QuickDraw'.

1. [3marks]Construct theprobabilitydistributionfor therandomvariableX.

1. ks]CalculatetheexpectedvalueoftherandomvariableXandprovideaninterpretationofitsvalue,incontextofthisquestion.