The length of a randomly chosen Atlantic blue-fin tuna from a tuna fishery is normally distributed with mean 172 cm and standard deviation 40 cm. a) Find the probability that a randomly chosen tuna's length is greater than 200 cm. b) Find the probability that a randomly chosen tuna's length is between 160 cm and 265 cm. c) A tuna whose length is in the bottom 20% of all recorded heights is classified in the market as small. Find the maximum length required to be classified as small.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The length of a randomly chosen Atlantic blue-fin tuna from a tuna fishery is normally distributed with mean 172 cm
and standard deviation 40 cm.
a) Find the probability that a randomly chosen tuna's length is greater than 200 cm.
b) Find the probability that a randomly chosen tuna's length is between 160 cm and 265 cm.
c) A tuna whose length is in the bottom 20% of all recorded heights is classified in the market as small. Find the
maximum length required to be classified as small.
Transcribed Image Text:The length of a randomly chosen Atlantic blue-fin tuna from a tuna fishery is normally distributed with mean 172 cm and standard deviation 40 cm. a) Find the probability that a randomly chosen tuna's length is greater than 200 cm. b) Find the probability that a randomly chosen tuna's length is between 160 cm and 265 cm. c) A tuna whose length is in the bottom 20% of all recorded heights is classified in the market as small. Find the maximum length required to be classified as small.
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