Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)
5th Edition
ISBN: 9780133892697
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 5.2, Problem 19BSC
Car Failures. In Exercises 19-22, refer to the accompanying table, which describes results of roadworthiness tests of Ford Focus cars that are 3 years old (based on data from the Department of Transportation). The random variable x represents the number of cars that failed among six that were tested for roadworthiness.
19.
| X | P(X) |
| 0 | 0.377 |
| 1 | 0 399 |
| 2 | 0.176 |
| 3 | 0.041 |
| 4 | 0.005 |
| 5 | 0+ |
| 6 | 0+ |
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Throughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2.
1. Show that
AAB (ANB) U (BA) = (AUB) (AB),
Α' Δ Β = Α Δ Β,
{A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).
16. Show that, if X and Y are independent random variables, such that E|X|< ∞,
and B is an arbitrary Borel set, then
EXI{Y B} = EX P(YE B).
Proposition 1.1 Suppose that X1, X2,... are random variables. The following
quantities are random variables:
(a) max{X1, X2) and min(X1, X2);
(b) sup, Xn and inf, Xn;
(c) lim sup∞ X
and lim inf∞ Xn-
(d) If Xn(w) converges for (almost) every w as n→ ∞, then lim-
random variable.
→ Xn is a
Chapter 5 Solutions
Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)
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