Refer to the Minitab display to the right. The probabilities were obtained by en

Question

Refer to the Minitab display to the right. The probabilities were obtained by entering the values of n = 5 and p = 0.157. In a clinical test of a drug, 15.7% of the subjects treated with 10 mg of the drug experienced headaches. In each case, assume that 5 subjects are randomly selected and treated with 10 mg of the drug. Find the probability that at least four of the subjects experience headaches Binomial with n = 5 and p=0.157 0 2 4 P(X = x) 0.4257 0.3964 0.1477 0.0275 0.0026 0.0001 The probability that at least four of the subjects experience headaches is (Round to four decimal places as needed.)

Explanation / Answer

Solution :

From using binomial probability table ,

The probability that at least four of the subjects experience headaches is ,

P(at least four headaches) = P(x = 4) + P(x = 5) = 0.0026 + 0.0001 = 0.0027

The probability that at least four of the subjects experience headaches is = 0.0027

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