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?)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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?)
Transcribed Image Text: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?
Transcribed Image Text: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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