3. You paid $15!] for the box of illtl lighthulhe in the previous question so the cost oleach bulb is $1.511 But in order to keel: you as a happy mstDmJe; for each defeative bulb you take back IISU will refund refund $1l] for your trouble. For example, if you nd two defeative bulbs ttmy will refund $20 eoe'ecvely you have only paid $15!} 35213 = $13!] for the box. Let Y be the effective cost of a box ofbulhe. Noting that the efeave coetis $13D only wtten there are two defeave bulbe which inturn happens 20% ofthe time we see that Pg}? =13CIJ= [ill]. {E} Find the Sample Space modeled with the random variable 1". (b) Give a table diaplaying the probability mass function of 1". {c} Find the expected Value, varianee, and standard deviation of Y. \f