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Refer to the accompanying technology display. The probabilities in the display were obtained using the values of n equals 5 and p equals 0.726. In a clinical test of a​ drug, 72.6​% 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 more than one subject experiences headaches. Is it reasonable to expect that more than one subject will experience​ headaches?

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Answer:

The probability table is attached below

The probability that at least four of the subjects experience headaches.

Probability of at least 4 means x is greater than or equal to 4

Given n= 5 so we find probability (x=4) and (x=5)

P(x>=4) = P(x=4) + P(x=5)

Given P(x=4) is 0.3732

Also P(x=5) is 0.1882

P(x>=4) = P(x=4) + P(x=5)

= 0.3732 + 0.1882 = 0.5614

the probability that at least four of the subjects experience headaches is 0.5614

(b) No​, it is not unlikely that the probability fewer than four subjects will experience​ headaches.

Explanation:

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