The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,189. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X~ N( b. Find the probability that a randomly selected acre in the forest has fewer than 54,779 ants. c. Find the probability that a randomly selected acre has between 45,868 and 54,636 ants. d. Find the first quartile. ants (round your answer to a whole number)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation
12,189. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal
places where possible.
a. What is the distribution of X? X~ N(
b. Find the probability that a randomly selected acre in the forest has fewer than 54,779 ants.
c. Find the probability that a randomly selected acre has between 45,868 and 54,636 ants.
d. Find the first quartile.
ants (round your answer to a whole number)
Transcribed Image Text:The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,189. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X~ N( b. Find the probability that a randomly selected acre in the forest has fewer than 54,779 ants. c. Find the probability that a randomly selected acre has between 45,868 and 54,636 ants. d. Find the first quartile. ants (round your answer to a whole number)
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