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.
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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Solve A through D
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29f19d9b-b4cb-4754-9848-cf44dc94653e%2Fe10c1438-e489-476c-9ab6-488017afa033%2Fy5rsf6.png&w=3840&q=75)
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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