Canadians will need to wait before receiving a COVID-19 vaccine, starting today, as predicted by the Canadian goverment. 5 6 7 Wait Time t (weeks) (a) Given that p is a density function, what mumerical value should be placed in the pink box? The value in the pink bax is umber units (b) For each question below, please write your answer into the box. You do not need to explain your reasoning. i. What fraction of Canadians will receive their vaccine within 2 weeks from today? (Please state your answer in the form of a fraction.). i. What is the median wait time? i. Without doing any caleulations, how do you expect the mean wait time to compare with the median? (Please fill in the blank below using the words "greater than", “less than", or "equal to".) weeks I expect the mean wait time to be the median. iv. According to this model, what is the longest possible time that a Canadian might need to wait before receiving the vaccine? weeks v. If you choose a Canadian at random, how long will they most likely wait for the vaccine? weeks vi. Fill in the blank: One third of Canadians will have a wait time longer than weeks.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 3TU
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Question
Suppose that the graph below represents the density function for the times (in weeks) that
Canadians will need to wait before receiving a COVID-19 vaccine, starting today, as predicted by the
Canadian goverment.
y = p(t)
Wait Time t (weeks)
3
(a) Given that p is a density function, what numerical value should be placed in the pink box?
The value in the pink box is
mumber
units
(b) For each question below, please write your answer into the box. You do not need to explain your
reasoning.
i. What fraction of Canadians will receive their vaccine within 2 weeks from today? (Please
state your answer in the form of a fraction.).
ii. What is the median wait time?
iii. Without doing any calculations, how do you expect the mean wait time to compare with the
median? (Please fill in the blank below using the words "greater than", "less than", or
"equal to".)
weeks
I expect the mean wait time to be
the median.
iv. According to this model, what is the longest possible time that a Canadian might need to
wait before receiving the vaccine?
weeks
v. If you choose a Canadian at random, how long will they most likely wait for the vaccine?
weeks
vi. Fill in the blank: One third of Canadians will have a wait time longer than
weeks.
Transcribed Image Text:Suppose that the graph below represents the density function for the times (in weeks) that Canadians will need to wait before receiving a COVID-19 vaccine, starting today, as predicted by the Canadian goverment. y = p(t) Wait Time t (weeks) 3 (a) Given that p is a density function, what numerical value should be placed in the pink box? The value in the pink box is mumber units (b) For each question below, please write your answer into the box. You do not need to explain your reasoning. i. What fraction of Canadians will receive their vaccine within 2 weeks from today? (Please state your answer in the form of a fraction.). ii. What is the median wait time? iii. Without doing any calculations, how do you expect the mean wait time to compare with the median? (Please fill in the blank below using the words "greater than", "less than", or "equal to".) weeks I expect the mean wait time to be the median. iv. According to this model, what is the longest possible time that a Canadian might need to wait before receiving the vaccine? weeks v. If you choose a Canadian at random, how long will they most likely wait for the vaccine? weeks vi. Fill in the blank: One third of Canadians will have a wait time longer than weeks.
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