STATISTICS 324        Assignment 4        Due  Feb. 24, 2004

Exercises from the textbook, "Probability & Statistics for Engineering"
by J. Devore

Section 3.4:  44, 46, 48, 54(a)(b), 56, 60 (from previous Assignment 3)

Section 3.5:  65, 70(a)-(c), add part 70(d) evaluate  P(X = 2 or 3) under
both (a) and (b).

Extra Question: A large batch of components is assumed to contain 10%
defectives. Items are checked sequentially until one defective is found;
let X = number of nondefectives until the first defective is found.
Give the pdf of X, find P(X = 4), find E(X), and determine an "approximate
median" of X, i.e., a value m such that
P(X <= m) >= 0.5 and P(X >= m) >= 0.5.
Note:  sum from {x=0} to m {c^x} = (1 - c^{m+1}) / (1 - c).

Section 3.6:  76, 83, 84, 86

Sections 4.1--4.2:  1, 4, 6, 10; 11, 17(a)-(c) E(X) from graph of pdf,
22, 23, 24(a)-(c)