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In a certain large population of people, the proportion that are Rh positive (their blood has...

In a certain large population of people, the proportion that are Rh positive (their blood has the rhesus protein) is approximately 0.82. Suppose 14 people are randomly selected from this population.

a) What is the probability that exactly 12 are Rh positive? Give your response to at least 3 decimal places.

b) What is the probability that more than 12 are Rh positive? Give your response to at least 3 decimal places.

c) What is the probability that no more than 12 are Rh positive? Give your response to at least 3 decimal places.

Math   Statistics-And-Probability   
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Answer #1

X : number of persons are Rh positive.

X ~ bin (n,p)

where, n = 14

p = 0.82

q = (1-p) = (1-0.82) = 0.18

the pmf of the distribution is:-

a).the probability that exactly 12 are Rh positive is :-

b).the probability that more than 12 are Rh positive is:-

c).the probability that no more than 12 are Rh positive is:-

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.

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