There are four blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A blood bank wants to know how many donations will be required, on average, to achieve at least one of each of the blood types. Is it appropriate to use the geometric distribution to calculate probabilities in this situation? A) Yes, the geometric distribution is appropriate. B) No, since each trial is not independent of the other trials. C) No, because it is not looking for the first occurrence of success. D) No, since a success and failure on each trial cannot be defined.
There are four blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A blood bank wants to know how many donations will be required, on average, to achieve at least one of each of the blood types. Is it appropriate to use the geometric distribution to calculate probabilities in this situation? A) Yes, the geometric distribution is appropriate. B) No, since each trial is not independent of the other trials. C) No, because it is not looking for the first occurrence of success. D) No, since a success and failure on each trial cannot be defined.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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There are four blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A blood bank wants to know how many donations will be required, on average, to achieve at least one of each of the blood types.
Is it appropriate to use the geometric distribution to calculate probabilities in this situation?
A) Yes, the geometric distribution is appropriate.
B) No, since each trial is not independent of the other trials.
C) No, because it is not looking for the first occurrence of success.
D) No, since a success and failure on each trial cannot be defined.
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