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?

Question

Mathematics

Hamza

3 May, 23:28

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?

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Urijah Arellano · Answer 1

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