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In: Statistics and Probability

A recent study about the blood types distribution reported that the percentage of B+ blood type...

A recent study about the blood types distribution reported that the percentage of B+ blood type holders in KSA is approximately 19.7%. A call for donation for B+ blood is released at University ofJeddah. What is the probability that the first donor with B+ blood type will be the 7th applicant?

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Expert Solution

A recent study, about the blood types distribution reported that the percentage of B+ blood type holders in KSA, is approximately 19.7%.

So, the probability that a randomly selected individual in KSA will have B+ blood group, is 19.7/100, ie. 0.197.

So, the probability that a randomly selected individual in KSA, will not have B+ blood group, is

1-0.197, ie. 0.803.

Now, to find the probability that the first donor with B+ blood, will be the 7th applicant.

Now, the 7th applicant would be the first B+ holder, only if the first 6 applicants were not B+ holders.

Now, the first 6 applicants would not be B+ holders, each with probability 0.803. And then the 7th applicant would be a B+ holder, with probability 0.197.

So, by independence rule, we can say that

the chance that the first B+ holder would be the 7th applicant, would be

=

=

So, the probability that the first donor with B+ blood type will be the seventh applicant, is 0.0528.

orchestra answered 1 year ago
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