Question: Question 2:

During its grand opening week, M&R stores offer a "wheel of discount savings". After customers select the items they wish to purchase, they spin the wheel to determine the discount they will receive. The wheel is divided into 10 slices. Four slices are red and award a 10% discount, three slices are white and award a 20% discount, and two slices are blue and award a 40% discount. The remaining slice is gold and awards a 100% discount!

Let the random variable X represents the discount (%) a customer may receive

a) Construct a probability distribution table.

b) What is the expected discount for a given customer?

c) What is the standard deviation of the discount?

d) Find the probability of getting more than 30% discount?