In a test for ESP a subject is told that cards theexperimenter can see but he ca

Question

In a test for ESP a subject is told that cards theexperimenter can see but he cannot contain either star, acircle a wave or a square. As the experimenter looks at eachof 20 cards in turn, the subject namesthe shape on the card. A subject who is ust guessing has probability 0.25 ofguessing correctly on each card. (a.) the count of correct guesses in 20 cards has a binomialdistribution. What are n and p? (b.) What is the mean number of correct guesses in manyrepititions of the experiment? (c.) Wht is the probability of exactly 5 correctguesses? In a test for ESP a subject is told that cards theexperimenter can see but he cannot contain either star, acircle a wave or a square. As the experimenter looks at eachof 20 cards in turn, the subject namesthe shape on the card. A subject who is ust guessing has probability 0.25 ofguessing correctly on each card. (a.) the count of correct guesses in 20 cards has a binomialdistribution. What are n and p? (b.) What is the mean number of correct guesses in manyrepititions of the experiment? (c.) Wht is the probability of exactly 5 correctguesses?

Explanation / Answer

(a.) n= the number of trials n=20 p= the probability of getting it correct p=0.25 (b.) =np =(20)(0.25) =5 (c.)                             =standard deviation z=(x-)/                   =npq z=(5-5)/1.9365         =1.9364916731 z=0.0 which equals z=0.5000

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