a. What is the probability that a randomly-chosen person attending this convention owns between 67 and 74 paintings (inclusive)? Include a relevant, detailed diagram. b. You hope to meet a superstar collector owning more than 95 paintings. Bella and Lance both seem to have large collections. What is the probability that both of those two enthusiasts own more than 95 paintings? C. One convention attendee, Richard, claims to be among the top 2.5% of all collectors. He owns 100 paintings. Should you believe him? Explain why or why not.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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3.
Flamborough, Ontario hosts an annual convention for collectors of rare paintings. The number
of paintings owned by each person attending is approximately normally distributed with a mean of 73 and a
standard deviation of 7.
What is the probability that a randomly-chosen person attending this convention owns between 67 and
74 paintings (inclusive)? Include a relevant, detailed diagram.
а.
b. You hope to meet a superstar collector owning more than 95 paintings. Bella and Lance both seem to
have large collections. What is the probability that both of those two enthusiasts own more than 95
paintings?
С.
One convention attendee, Richard, claims to be among the top 2.5% of all collectors. He owns 100
paintings. Should you believe him? Explain why or why not.
Transcribed Image Text:3. Flamborough, Ontario hosts an annual convention for collectors of rare paintings. The number of paintings owned by each person attending is approximately normally distributed with a mean of 73 and a standard deviation of 7. What is the probability that a randomly-chosen person attending this convention owns between 67 and 74 paintings (inclusive)? Include a relevant, detailed diagram. а. b. You hope to meet a superstar collector owning more than 95 paintings. Bella and Lance both seem to have large collections. What is the probability that both of those two enthusiasts own more than 95 paintings? С. One convention attendee, Richard, claims to be among the top 2.5% of all collectors. He owns 100 paintings. Should you believe him? Explain why or why not.
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