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It is known that 35 percent of members of a population suffer from at least one...

It is known that 35 percent of members of a population suffer from at least one chronic disease. What is the probability that in a random sample of 200 individuals 140 or more do not have chronic diseases?

Math   Statistics-And-Probability   
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Answer #1

P(not have chronic disease) = 1 - 0.35 = 0.65

n = 200

= n * p = 200 * 0.65 = 130

= sqrt(np(1 - p))

   = sqrt(200 * 0.65 * 0.35)

   = 6.7454

P(X > 140)

= P((X - )/> (140 - )/)

= P(Z > (139.5 - 130)/6.7454)

= P(Z > 1.41)

= 1 - P(Z < 1.41)

= 1 - 0.9207

= 0.0793

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