Probability that few people respond and switch credit card


Average balance of credit card in Hang Road was $4925 surpassing the $4284 national average by 15%. A national market believes that approximately 25% of all persons between age 23 to 38 in the region who received "Abandon your credit card" emails will actually respond to these emails and switch their credit cards. Previous records show that distribution of people's response to such emails is approximately normal. If 1st wave of such 5000 emails were sent to the target age group in Hang Road region, What is the probability that 1750 or fewer people will respond and switch their credit card?Average balance of credit card in Hang Road was $4925 surpassing the $4284 national average by 15%. A national market believes that approximately 25% of all persons between age 23 to 38 in the region who received "Abandon your credit card" emails will actually respond to these emails and switch their credit cards. Previous records show that distribution of people's response to such emails is approximately normal. If 1st wave of such 5000 emails were sent to the target age group in Hang Road region, What is the probability that 1750 or fewer people will respond and switch their credit card?

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Basic Statistics: Probability that few people respond and switch credit card
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