Question

A sample of 820 adults showed that 61 of them had no credit cards, 171 had one card each, 82 had two cards each, 78 had three cards each, 24 had four cards each, and 404 had five or more cards each. Suppose one adult is randomly selected from these 820 adults. Find the probability that this adult has exactly three credit cards.

Answer 1

The probability that a randomly selected adult from the 820 surveyed has exactly three credit cards is about 9.51%.

Step-by-step explanation:

The question asks us to calculate the probability that a randomly selected adult from a sample of 820 has exactly three credit cards. Given that 78 adults have three credit cards, we can find this probability by dividing the number of adults with three cards by the total number of adults surveyed.

Probability = Number of adults with three credit cards / Total number of adults

Probability = 78 / 820

Probability = 0.0951 (rounded to four decimal places)

Therefore, the probability that a randomly selected adult from this sample has exactly three credit cards is approximately 0.0951, or 9.51%.