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Suppose that 20% of dogs will associate a flash of light with a delayed treat given after the flash. 30 dogs are tested in the lab to see if they will learn this association.
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Let X denote the number of dogs (out of these 30) that learn the association.
Compute the expected value and standard deviation of X
Expected=6, but what is SD?
How would you take SD?
The result follows a binomial distribution with n = 30 and p = 0.2. The standard deviation is given by: \[\large S.D.=\sqrt{np(1-p)}\]
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