Using Technology or the Binomial Probability Formula. In Exercises 21-24, assume

Question

Using Technology or the Binomial Probability Formula. In Exercises 21-24, assume that when blood donors are randomly selected, 45% of them have blood that is Group O (based on data from the Greater New York Blood Program), If the number of blood donors is n = 8, find the probability that the number with Group O blood is x = 3. If the number of blood donors is n = 16, find the probability that the number with Group O blood is x = 6. If the number of blood donors is n = 20, find the probability that the number with Group O blood is at x = 16. If the number of blood donors, n = 11, find the probability that the number with Group O blood is x = 9.

Explanation / Answer

Solution:-

Probability randomly selected donor has blood group = 45/100 = 0.45

21) The probability that the number with group O blood is x = 3 is 0.2568

n = 8

By using binomial distribution:-

P(x,n,p) = nCx*px*(1-p)(n-x)

P(x = 3, n = 8) = 0.2568

22) The probability that the number with group O blood is x = 6 is 0.1684

n = 16

By using binomial distribution:-

P(x,n,p) = nCx*px*(1-p)(n-x)

P(x = 6, n = 16) = 0.1684

23)The probability that the number with group O blood is x = 16 is 0.001253

n = 20

By using binomial distribution:-

P(x,n,p) = nCx*px*(1-p)(n-x)

P(x = 16, n = 20) = 0.001253

24) The probability that the number with group O blood is x = 9 is 0.012589.

n = 11

By using binomial distribution:-

P(x,n,p) = nCx*px*(1-p)(n-x)

P(x = 9, n = 11) = 0.012589

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