Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year's graduates. $0 $10 $25 $50 Size of donation Proportion of calls 0.40 0.35 0.20 0.05 Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but who declined to make a donation and for those who were not reached in three attempts. Consider the variable x = amount of donation for the population of last year's graduates of this university. (a) Write a few sentences describing what you think you might see if the value of x was observed for each of 1000 graduates. of the graduates to donate nothing, roughly to donate $10, roughly You would expect roughly roughly to donate $50. The frequencies would be close to, but not exactly, these values. The four frequencies would add to (b) What is the most common value of x in this population? $ (c) What is P(x ≥ 25)? (d) What is P(x > 0)? to donate $25, and

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Author:Amos Gilat
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7-2-2

Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for
last year's graduates.
$0 $ 10 $25 $50
Size of donation
Proportion of calls 0.40 0.35 0.20 0.05
Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but who declined to make a donation
and for those who were not reached in three attempts. Consider the variable x = amount of donation for the population of last year's graduates of this
university.
(a) Write a few sentences describing what you think you might see if the value of x was observed for each of 1000 graduates.
of the graduates to donate nothing, roughly
to donate $10, roughly
You would expect roughly
roughly
to donate $50. The frequencies would be close to, but not exactly, these values. The four frequencies would add to
(b) What is the most common value of x in this population?
(c) What is P(x ≥ 25)?
(d) What is P(x > 0)?
to donate $25, and
Transcribed Image Text:Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year's graduates. $0 $ 10 $25 $50 Size of donation Proportion of calls 0.40 0.35 0.20 0.05 Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but who declined to make a donation and for those who were not reached in three attempts. Consider the variable x = amount of donation for the population of last year's graduates of this university. (a) Write a few sentences describing what you think you might see if the value of x was observed for each of 1000 graduates. of the graduates to donate nothing, roughly to donate $10, roughly You would expect roughly roughly to donate $50. The frequencies would be close to, but not exactly, these values. The four frequencies would add to (b) What is the most common value of x in this population? (c) What is P(x ≥ 25)? (d) What is P(x > 0)? to donate $25, and
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