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Binomial Probability Distribution A certain patient is in need of Type A blood.

ID: 3304831 • Letter: B

Question

Binomial Probability Distribution A certain patient is in need of Type A blood. His family and friends are sponsoring a blood drive on his behalf, 40% of the population in his area have Type A blood. After the screening process (which does NOT include blood typing), 12 random donors qualify and will give blood Answer the following questions: 1. Is this a binomial experiment? 2. Show that the four conditions of a Binomial Probability Distribution are met. 3. What do you define as the random variable? 4. What are all of the possible values of the random variable? 5. What do you define as a success? 6. What is the probability of success? 7. Calculate the mean and standard deviation for this distribution. Go to the next sheet.

Explanation / Answer

from above probability of 5 unit of A blood group out of 12 =binom.dist(5,12,0.4,false) =0.22703

probability that 5 or fewer unit of blood group A =binom.dist(5,12,0.4,true) =0.665209

probability that patient will get 5 units of blood A from this drive =P( at least 5 unit of type A blood from this drive)

=P(X>=5)=1-P(X<=4) =1-binom.dist(4,12,0.4,true) =1-0.438178=0.561822