(Steps Shown) In a test for ESP (extrasensory perception), a subject is told that cards the experimenter can see, but he cannot, contain either a star, a circle,


Question: In a test for ESP (extrasensory perception), a subject is told that cards the experimenter can see, but he cannot, contain either a star, a circle, a wave, or a square. As the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. A subject who is guessing has probability 0.25 of guessing correctly on each card.

  1. The count of correct guesses in 20 cards has a binomial distribution. What are n and p ?
  2. What is the mean number of correct guesses in many repetitions?
  3. What is the probability of exactly 5 correct guesses?

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