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Customer center operator. Raaj works at the customer service call center of a major credit card bank. Cardholders call for a variety of​ reasons, but regardless of their reason for​ calling, if they hold a platinum​ card, Raaj is instructed to offer them a​ double-miles promotion. About 12​% of all cardholders hold platinum​ cards, and about 53​% of those will take the​ double-miles promotion. On​ average, how many calls will Raaj have to take before finding the first cardholder to take the​ double-miles promotion?

Respuesta :

segunare233

Answer:

16 calls

Step-by-step explanation:

1. 12% holds platinum and 53% will get double miles promotion. Therefore, P = 0.12 × 0.53 = 0.0636

2. Number of calls Raaj would make is give by: E(x) =1/p = 1/0.0636

= 15.723

= 16 calls

The number of calls Raaj will have to take before finding the first cardholder to take the​ double-miles promotion is; 16 calls

We are given;

Percentage of the card holders that hold platinum card; P(p) = 12% = 0.12

Percentage of platinum card holders that will take the double miles promotion; P(d) = 53% = 0.53

Now, this is tantamount to conditional probability where only a percentage of  those with platinum cards got double miles promotion.

Thus;

Probability of a platinum cardholder taking the double miles promotion is;

P(pd) = P(p) × P(d)

P(pd) = 0.12 × 0.53

P(pd) = 0.0636

Now, to find calls will Raaj have to take before finding the first cardholder to take the​ double-miles promotion, we have to find the expected mean value of the probability. Thus;

E(X) = 1/P(pd)

E(X) = 1/0.0636

E(X) = 15.72

Approximating to a whole number gives;

E(X) = 16 calls

Read more on expected value at; https://brainly.com/question/15858152

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