Problem
Interpret this probability If 100 different random samples of 800 adults were obtained, one would expect 7 to result in more than $20 \%$ not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 800 adults, between $15 \%$ and $20 \%$ do not own a credit card? The probability is 0.9074 (Round to four decimal places as needed) Interpret this probability. If 100 different random samples of 800 adults were obtained, one would expect $\square$ to result in between $15 \%$ and $20 \%$ not owning a credit card (Round to the nearest integer as needed)
Solution
Step 1 ：The question is asking for the expected number of samples that would result in between 15% and 20% not owning a credit card. The probability of this happening is given as 0.9074.
Step 2 ：To find the expected number of samples, we can multiply the total number of samples by the probability of the event. In this case, we have 100 samples and a probability of 0.9074.
Step 3 ：Using the formula for expected value, we get \(100 \times 0.9074 = 90.74\).
Step 4 ：Since we need to round to the nearest integer, the expected number of samples is 91.
Step 5 ：Final Answer: \(\boxed{91}\)
