Suppose that fünd-raisers at a university call recent graduates to request donations för campus outreach programs. They report the following informatión för last years graduates. Size of donation $0 $10 $25 $50 Proportion of calls 0.45 0.30 0.20 0.05 Three attempts were made to contact each graduate. person selected at random from the population of last year's graduates of this university. donation of $o was recorded both for those who were contacted but who declined to make a donation and for those who were not reached three attempts. Consider the variable x = amount of donation for a (a) Write a few sentences describing what you think you might see if the value of x was observed for each of 1,000 graduates. You would expect roughly of the graduates to donate nothing, roughly |to donate $10, roughly to donate $25, and roughly to donate $50. The frequencies would be close to, but not exactly, these values. The four frequencies would add to (b) In the long run, what value of x would be observed most often? (c) What is P(x 2 25)? P(x 2 25) = (d) What is P(x > 0)? P(x > 0) =

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
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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.
Size of donation
$0
$10
$25
$50
Proportion of calls
0.45
0.30
0.20
0.05
Three attempts were made to contact each graduate. A donation of $o 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 a
person selected at random from 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 1,000 graduates.
You would expect roughly
of the graduates to donate nothing, roughly
to donate $10, roughly
to donate $25, and roughly
to donate $50. The frequencies would be close to, but not exactly,
these values. The four frequencies would add to
(b) In the long run, what value of x would be observed most often?
(c) What is P(x 2 25)?
P(x 2 25) =
(d) What is P(x > 0)?
P(x > 0) = |
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. Size of donation $0 $10 $25 $50 Proportion of calls 0.45 0.30 0.20 0.05 Three attempts were made to contact each graduate. A donation of $o 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 a person selected at random from 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 1,000 graduates. You would expect roughly of the graduates to donate nothing, roughly to donate $10, roughly to donate $25, and roughly to donate $50. The frequencies would be close to, but not exactly, these values. The four frequencies would add to (b) In the long run, what value of x would be observed most often? (c) What is P(x 2 25)? P(x 2 25) = (d) What is P(x > 0)? P(x > 0) = |
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