Unformatted text preview: its diameter. Which statement is true about the distribution of X? (a) mean equal to 1.0 mm and standard deviation of 5 mm. (b) mean equal to 1.0 mm. and standard deviation of 0.1mm. (c) mean equal to 1.0 mm and standard deviation of 0.02 mm. (d) mean equal to 1.99 lb. and standard deviation of 0.004 mm. 4.541 _ 4. Find t such that P(T 3 < t) = 0.99. Here T 3 denotes a random variable with the"t" p.d.f. and ν =3 . _5/3 or 1.67 _ 5. Y j ~N(2,9) for j=1,2…25. The Y j are all pairwise independent. That is, μ Y =2, σ Y =3 n=25 Cov(Y k , Y t )=0 for all k and t. Let 25 25 1 ∑ = = k k Y Y . So SE( Y )=3/5 =0.6 Pr( Y < 3) = Φ ( Z ) ; Z = ____________ 3 2 5 1.67 3/ 5 3 Z= = = 1...
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 Fall '03
 Mendell
 Standard Deviation, Probability theory

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