Suppose an antidepressant medication has been shown to be 50% effective in treating depression. If the...
Suppose an antidepressant medication has been shown to be 50% effective in treating depression. If the medication is given to ten unrelated individuals being treated for depression, what is the probability that it will be effective in more than 8? ( Round your answer to 4 decimal places)
Homework Answers
X ~ bin ( n , p)
Where n = 10 , p = 0.5
Binomial probability distribution is
P(X) = nCx * px * ( 1 - p)n-x
P(X > 8) = P(X >= 9)
= P(X = 9) + P(X = 10)
= 10C9 * 0.59 * 0.5 + 10C10 * 0.510 * 0.50
= 0.0107
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