What is probability that exactly 5 newborns

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Newborns were screened for human immunodeficiency virus (HIV) or acquired immunodeficiency syndrome (AIDS) in a specific Massachusetts hospital in the inner city. Data collected in a previous study showed that 30 newborns tested positive out of 3741 newborns tested. All others tested negative of course. If we screened 500 newborns from this particular hospital then:

(a) What is probability that exactly 5 newborns will test positive for HIV?

(b) What is probability that fewer than 5 newborns will test positive for HIV?

(c) What is probability that at least 7 newborns will test positive for HIV?

(d) Would it be unusual if more than 10 newborns tested positive?

(e) What is probability that at least 2 and no more than 10 of newborns will test positive for HIV?

Reference no: EM132853479

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