Elements of Statistical Methods Probability (Ch 3) - Statistics
Elements of Statistical Methods Probability (Ch 3) - Statistics
Elements of Statistical Methods Probability (Ch 3) - Statistics
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2 Fair Coin TossesFor two fair coin tosses the number X <strong>of</strong> heads takes the values 0,1,2for s = TT, s = HT or s = TH, and s = HH with probabilities 1 4 , 1 2 , 1 4 , respectively.P(X ≤ y) =⎧⎪⎨⎪⎩0.0 = P(/0) for y < 00.25 = P(X = 0) = P(TT) for 0 ≤ y < 10.75 = P(X = 0 ∪ X = 1) = P(TT ∪ HT ∪ TH) for 1 ≤ y < 21.0 = P(X = 0 ∪ X = 1 ∪ X = 2) = P(S) for 2 ≤ ySee CDF plot on next slide.44
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