Pearson eText for Essentials of Statistics -- Instant Access (Pearson+)
6th Edition
ISBN: 9780137517374
Author: Mario Triola
Publisher: PEARSON+
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Chapter 5.3, Problem 14BSC
Disease Cluster Neuroblastoma, a rare form of cancer, occurs in 11 children in a million, so its
a. Assuming that neuroblastoma occurs as usual, Find the
b. Using the unrounded mean from part (a), find the probability that the number of neuroblastoma cases in a group of 12,429 children is 0 or 1.
c. What is the probability of more than one case of neuroblastoma?
d. Does the cluster of four cases appear to be attributable to random chance? Why or why not?
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2. Which of the following statements are (not) true?
lim sup{An U Bn}
818
lim sup{A, B}
818
lim inf{An U Bn}
818
818
lim inf{A, B}
An
An A, Bn-
A, BnB
→B
=
=
=
lim sup A, U lim sup Bn;
818
818
lim sup A, lim sup Bn;
818
81U
lim inf A, U lim inf Bn;
818
818
lim inf A, lim inf Bn;
n→X
818
An U BRAUB
as no;
An OBRANB as n→∞.
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).
Chapter 5 Solutions
Pearson eText for Essentials of Statistics -- Instant Access (Pearson+)
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