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A survey of 1200 customers revealed that 250 had credit card debt in excess of $5000. What is the probability of selecting a customer at random and finding that the customer does not have debt exceeding $5000?

User Ammar Khan
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Final answer:

The probability that a randomly selected customer from the survey does not have credit card debt exceeding $5000 is approximately 79.17%.

Step-by-step explanation:

The student's question asks to find the probability that a randomly selected customer from a survey does not have credit card debt exceeding $5000. To solve this, we first identify the number of customers with debt less than or equal to $5000, which is the total number of surveyed customers minus those with debt over $5000:

Total customers = 1200

Customers with debt over $5000 = 250

Customers with debt less than or equal to $5000 = 1200 - 250 = 950

Next, we calculate the probability by taking the number of customers with debt less than or equal to $5000 and dividing it by the total number of surveyed customers:

Probability = Number of customers with ≤ $5000 debt / Total customers

Probability = 950 / 1200

Probability = 0.7917 (rounded to four decimal places)

Therefore, the probability of selecting a customer at random and finding that the customer does not have debt exceeding $5000 is approximately 0.7917 or 79.17%.

User Amr Salama
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