A store shows 35% of their customers use a credit card. One morning 25 customers consumed at that store.Their paying method is independent of each other. Let W be the number of customer using credit card.
a) What is the probability that 7 or 8 used credit card? What is the distribution, parameter(s) and support for W?
b) What is the standard deviation of customer using credit card.
c) If 120 customers came for a whole day. The store has to pay $1.15 fees to credit card company for each transaction. What is the expected amount of the store has to pay?
d) If 120 customers came for a whole day. What is the probability 35-50 (inclusive) used credit card? Let V be the number that used credit card. What is the distribution, parameter(s) and support of V? Can another distribution be used to approximate V? Explain, don't calculate probability.