a. Find the probability distribution of X, the number (out of the four) that have annual incomes below $28,000. b. Would you say that it is unusual to see all four below $28,000 in this type of poll? (What is the probability of this event?)

a. Find the probability distribution of X, the number (out of the four) that have annual incomes below $28,000. b. Would you say that it is unusual to see all four below $28,000 in this type of poll? (What is the probability of this event?)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

random variables and their probability distributions

The median annual income for household heads
in a certain city is $28,000. Four such household
heads are randomly selected for an opinion
poll.
a. Find the probability distribution of X, the
number (out of the four) that have annual
incomes below $28,000.
b. Would you say that it is unusual to see all
four below $28,000 in this type of poll?
(What is the probability of this event?)

A commercial building has two entrances,
numbered I and II. Three people enter the
building at 9:00 A.M. Let X denote the number
that select entrance I. Assuming the people
choose entrances independently, find the
probability distribution for X. Were any additional
assumptions necessary in arriving at your
answer?

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