Question
Refer to the accompanying Minitab display. (When blood donors were randomly selected, $45 \%$ of them bad blood that is Group O (based on data from the Greater New York Blood Program).) The display shows the probabilities obtained by entering the values of $n=5$ and $p=0.45$Find the probability that at least 1 of the 5 donors has Group O blood. If at least 1 Group O donor is needed, is it reasonable to expect that at least 1 will be obtained?
Step 1
This can be written as the sum of the probabilities of having 1, 2, 3, 4, or 5 donors with Group O blood. Mathematically, this can be represented as: \[P(X \geq 1) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)\] Show more…
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Refer to the accompanying Minitab display. (When blood donors were randomly selected, $45 \%$ of them bad blood that is Group O (based on data from the Greater New York Blood Program).) The display shows the probabilities obtained by entering the values of $n=5$ and $p=0.45$ Find the probability that at least 1 of the 5 donors has Group O blood. If at least 1 Group O donor is needed, is it reasonable to expect that at least 1 will be obtained?
Refer to the accompanying Minitab display. (When blood donors were randomly selected, $45 \%$ of them bad blood that is Group O (based on data from the Greater New York Blood Program).) The display shows the probabilities obtained by entering the values of $n=5$ and $p=0.45$ Find the probability that at least 3 of the 5 donors have Group 0 blood. If at least 3 Group O donors are needed, is it very likely that at least 3 will be obtained?
Discrete Probability Distributions
Binomial Probability Distributions
Refer to the accompanying Minitab display. (When blood donors were randomly selected, $45 \%$ of them bad blood that is Group O (based on data from the Greater New York Blood Program).) The display shows the probabilities obtained by entering the values of $n=5$ and $p=0.45$ Find the probability that all of the 5 donors have Group O blood. Is it unusual to get 5 Group O donors from five randomly selected donors? Why or why not?
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