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Assume a binomial distribution has p = ½. Let’s look at some of its probability

Assume a binomial distribution has p = ½. Let’s look at some of its probability distributions for a variety of numbers of trials. n = 3. n = 5. n = 10. n = 25. n = 50. n = 100. Hey! What about ME?!?!?!?!.

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Assume a binomial distribution has p = ½. Let’s look at some of its probability

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  1. Assume a binomial distribution has p = ½. Let’s look at some of its probability distributions for a variety of numbers of trials...

  2. n = 3

  3. n = 5

  4. n = 10

  5. n = 25

  6. n = 50

  7. n = 100

  8. Hey! What about ME?!?!?!?!

  9. Adult IQ is normally distributed with a mean of 100 and a standard deviation of 15. What percent of adults are “dull normal” (that is, have an IQ between 80 and 90)?

  10. Men’s 200 meter butterfly (finals)

  11. What percent of adults are “dull normal” (that is, have an IQ between 80 and 90)? • What percent of adults are “superior” (that is, have an IQ above 130)? • What do you have to score to get into MENSA?

  12. The length of human pregnancies from conception to birth varies (roughly) according to a distribution that is approximately normal with a mean of 266 days and a standard deviation of 16 days. • What is the cutoff for the shortest 5% of all pregnancies? This is P5, and births shorter than these are called premature births. • Labor is usually induced if an expectant mother has exceeded her due date by 2 weeks. Find the probability that a pregnancy will last more than 2 weeks past the due date.

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