Reference no: EM133245323
In Australia, 30% of the population has blood type A+. Consider X, the number having A+ blood among 18 randomly-selected Australians.
(a) What is the probability distribution of X?
(b) Calculate:
(i) the mean and standard deviation of X.
(ii) P(X > 12)
(iii) P(5 ≤ X < 10)
(c) If, in such a sample, you found only 5 people with A+ blood, would this be an unusual sample? Justify your answer using an appropriate probability calculation.
3. [3 marks] Suppose the random variable, Y, has the probability distribution,
Y 1 2 3
P(Y = y) 0.57 0.27 0.16
(a) Calculate the mean, and
(b) the standard deviation
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