The number of ants per acre in the forest is normally distributed with mean 44,000 and standard deviation 12,492. 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 49,555 ants. c. Find the probability that a randomly selected acre has between 30,590 and 45,033 ants.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The number of ants per acre in the forest is normally distributed with mean 44,000 and standard deviation
12,492. 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 49,555 ants.
c. Find the probability that a randomly selected acre has between 30,590 and 45,033 ants.
Transcribed Image Text:The number of ants per acre in the forest is normally distributed with mean 44,000 and standard deviation 12,492. 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 49,555 ants. c. Find the probability that a randomly selected acre has between 30,590 and 45,033 ants.
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