Down Dog Yoga is a fitness studio which offers a variety of fitness classes such as yoga, Pilates and Barre. On the first day of each month, customers have the option of pre-paying for classes at a discountad rate of $8 per dass. The purchased alasses are loaded onto a smartphone app. Upon entering the studio to taki a class, the customers scan their phone to use up one of the class credits pre-oaded on their app. If they come in for a class and have run out of credits on their app, they cain purchase access to a class for a price of $12 per class. If, on the other hand, they reach the end of the month and still have some class credits, they receive a refund for $2 per class credit remaining. The credit balance is then reset to aero on the first day of each month for each customer. On May 1 st, Borgthee is trying to decide how many dasses she wants to pre-pay for. Based on past observations and her schedule for the month, she estimates she will be abie to attend between 0 and 10 classes over the course of the month, with the following table giving the corresponding probability for each value: Question 8: How many classes shoucd Borgthes pre-pay for on May 1 th if sha wishes to minimize her expected cout for fitness classes over the month of M ay? Answent to calculate the expectad number of hiness elasses ggrathes wilt be able co attend over the month of May =00.3+10.05+20.05+30.05+40.1+50.1+50.1+70.05+80.05+90.05+100.1 = Question 9: How much would Rorothes expect to spend on thtness claises in May if she could afe the future, that is, if ane could accurately predict how many classes she will attend over the month of INiny