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)

Answer

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Answer

Final Answer: \(\boxed{91}\)

Steps

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: \(\boxed{91}\)

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