Practice not graded Some customers of a retail chain have a store credit card that earns them bonus gifts when theymake purchases at the chain. Currently, 28 customers are shopping in a store in this chain.Of these, half already have a store credit card. If employees offer store credit cards to 7 of these,what is the probability that all of those chosen already have a card? Complete parts (a)through (e) below.(a) Explain why it would not be appropriate to use a binomial model for the number of customerswho already have a store credit card, among the 7 customers who were chosen.A. The number who already have a card in the 7 customers who were offered a storecredit card is not a random variable.B. There are not two possible outcomes for each trial involved in randomly selecting the 7customers who were offered a store credit card.C. The subset of the 7 customers who were offered a store credit card is too large andviolates the 10% condition.D. The number who already have a card in the 7 customers who were offered a storecredit card meets all of the conditions for using a binomial model.(b) A family of 7 is shopping in the store. Noting that nCx gives the number of ways of picking asubset of x items out of n, what is the probability that the 7 randomly selected shoppers are inthis family?The probability that the 7 randomly selected shoppers are in this family is .071429(Round to seven decimal places as needed.)

The 10% condition for binomial distribution asserts that the sample size should be less than or…

Some customers of a retail chain have a store credit card that earns them bonus gifts when they make purchases at the chain. Currently, 28 customers are shopping in a store in this chain. Of these, half already have a store credit card. If employees offer store credit cards to 7 of these, what is the probability that all of those chosen already have a card? Complete parts (a) through (e) below.