The number of ants per acre in the forest is normally distributed with mean 43,000 and standard deviation 12,316. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. %3! a. What is the distribution of X? X - N( b. Find the probability that a randomly selected acre in the forest has fewer than 29,021 ants. c. Find the probability that a randomly selected acre has between 34,050 and 40,025 ants. d. Find the first quartile. ants (round your answer to a whole number)

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### Question 9

The number of ants per acre in the forest is normally distributed with a mean of 43,000 and a standard deviation of 12,316. 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 \( X \)? \( X \sim N(\_\_, \_\_) \)  
    [Input Boxes]

b. Find the probability that a randomly selected acre in the forest has fewer than 29,021 ants.  
    [Input Box]

c. Find the probability that a randomly selected acre has between 34,050 and 40,025 ants.  
    [Input Box]

d. Find the first quartile.  
    \_\_\_ ants (round your answer to a whole number)  
    [Input Box]

[Submit Question Button]
Transcribed Image Text:### Question 9 The number of ants per acre in the forest is normally distributed with a mean of 43,000 and a standard deviation of 12,316. 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 \( X \)? \( X \sim N(\_\_, \_\_) \)     [Input Boxes] b. Find the probability that a randomly selected acre in the forest has fewer than 29,021 ants.     [Input Box] c. Find the probability that a randomly selected acre has between 34,050 and 40,025 ants.     [Input Box] d. Find the first quartile.     \_\_\_ ants (round your answer to a whole number)     [Input Box] [Submit Question Button]
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