The Psychic Friends Network (PFN) received telephone calls in 1999 from over 1.5 million people. A journal article attempted to shed some light onto the credibility of the PFN. One of the psychic friends' psychics agreed to take part in the following experiment. 10 cards are shown to the "psychic" then shuffled, and one is chosen at random. The psychic will then try to identify which card was drawn without seeing it. Assume that the experiment was repeated 15 times and that the results of any two experiments are independent of one another. Step 1 of 4: If we assume that the psychic is a fake (i.e, they are merely guessing at the cards and have no psychic powers), how many of the 15 cards do we expect the psychic to guess correctly? (Round your answer to the nearest integer.).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The Psychic Friends Network (PFN) received telephone calls in 1999 from over 1.5 million people. A journal article attempted to shed some light onto
the credibility of the PFN. One of the psychic friends' psychics agreed to take part in the following experiment. 10 cards are shown to the "psychic"
then shuffled, and one is chosen at random. The psychic will then try to identify which card was drawn without seeing it. Assume that the experiment
was repeated 15 times and that the results of any two experiments are independent of one another.
Step 1 of 4: If we assume that the psychic is a fake (i.e, they are merely guessing at the cards and have no psychic powers), how many of the 15
cards do we expect the psychic to guess correctly?
(Round your answer to the nearest integer)
Transcribed Image Text:The Psychic Friends Network (PFN) received telephone calls in 1999 from over 1.5 million people. A journal article attempted to shed some light onto the credibility of the PFN. One of the psychic friends' psychics agreed to take part in the following experiment. 10 cards are shown to the "psychic" then shuffled, and one is chosen at random. The psychic will then try to identify which card was drawn without seeing it. Assume that the experiment was repeated 15 times and that the results of any two experiments are independent of one another. Step 1 of 4: If we assume that the psychic is a fake (i.e, they are merely guessing at the cards and have no psychic powers), how many of the 15 cards do we expect the psychic to guess correctly? (Round your answer to the nearest integer)
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