According to a recent survey, 50% of people aged 13 and older in the United States are addicted to texting. To simulate choosing a random sample of 20 people in this population and seeing how many of them are addicted to texting, use a deck of cards. Shuffle the deck well, and then draw one card at a time. A red card means that person is addicted to texting; a black card means he isn't. Continue until you have drawn 20 cards (without replacement) for the sample.

Question

Mathematics

Lucas Peters

8 October, 06:15

According to a recent survey, 50% of people aged 13 and older in the United States are addicted to texting. To simulate choosing a random sample of 20 people in this population and seeing how many of them are addicted to texting, use a deck of cards. Shuffle the deck well, and then draw one card at a time. A red card means that person is addicted to texting; a black card means he isn't. Continue until you have drawn 20 cards (without replacement) for the sample.

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Jamie Barber · Answer 1

It is not valid 49.02% instead of 50%

Step-by-step explanation:

If you don't replace the cards, the probability of obtaining a person that is addicted to email is no longer 50% after the first drawn card.

If you drawn a red card there are 25 red cards and 26 black cards then the probability of 25/25+26=25/51 ≅0.4902 = 49.02 instead of 50%