The number of ants per acre in the forest is normally distributed with mean 45,000 and standard deviation 12,000. 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 XI X N 45000 12000 b. Find the probability that a randomly selected acre in the forest has fewer than 35,250 ants. c. Find the probability that a randomly selected acre has between 40,967 and 51,410 ants. d. Find the first quartile. ants (round your answer to a whole number)

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The number of ants per acre in the forest is normally distributed with mean 45,000 and standard deviation
12,000. 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 45000
12000
b. Find the probability that a randomly selected acre in the forest has fewer than 35,250 ants.
c. Find the probability that a randomly selected acre has between 40,967 and 51,410 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 45,000 and standard deviation 12,000. 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 45000 12000 b. Find the probability that a randomly selected acre in the forest has fewer than 35,250 ants. c. Find the probability that a randomly selected acre has between 40,967 and 51,410 ants. d. Find the first quartile. ants (round your answer to a whole number)
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