Which of the following problems couldn\'t be solved using the binomial? a) My fa

Question

Which of the following problems couldn't be solved using the binomial?

a) My favorite song is on heavy rotation at Z104.3. They play the song at least every two hours. When I turn on the radio, I don't know how long it's been since it was last played, and I estimate that the probability that it will be the next song is 0.02. What is the probability that it is one of the next 10 songs?

b) According to this website, the one person in 625 in the United States is born with sickle cell anemia. If I choose 10,000 people, what is the probability that I get 15 or fewer people with the disease? Also, the disease is more common in people of African descent: the gene is present in about 8% of black Americans. What is the probability that a random sample of 10,000 black Americans will include 15 or fewer people with the gene?

Explanation / Answer

the problem (a) cannot be solved using binomial distribtion because the trials involved are not independent of each other. The probability of the song playing right after it was played is different from the probability of playing after some other song.

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