The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,394. 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( 42000 12394 b. Find the probability that a randomly selected acre in the forest has fewer than 32,435 ants. c. Find the probability that a randomly selected acre has between 43,906 and 55,973 ants. d. Find the first quartile. ants (round your answer to a whole number)
The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,394. 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( 42000 12394 b. Find the probability that a randomly selected acre in the forest has fewer than 32,435 ants. c. Find the probability that a randomly selected acre has between 43,906 and 55,973 ants. d. Find the first quartile. ants (round your answer to a whole number)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer B, C, & D
Transcribed Image Text:The problem addresses the distribution of ants per acre in a forest.
Given:
- The number of ants per acre is normally distributed with a mean (\(\mu\)) of 42,000 and a standard deviation (\(\sigma\)) of 12,394.
- Let \(X\) represent the number of ants in a randomly selected acre.
Tasks:
a. **Distribution of X**: \(X \sim N(42000, 12394)\)
b. **Probability Calculation**: Find the probability that a randomly selected acre has fewer than 32,435 ants. (Answer not provided in image)
c. **Probability Calculation**: Find the probability that a randomly selected acre has between 43,906 and 55,973 ants. (Answer not provided in image)
d. **First Quartile**: Calculate the first quartile, rounding the answer to a whole number. (Answer not provided in image)
The tasks involve calculating probabilities and quartiles based on the normal distribution parameters provided.
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