The number of ants acre in the forest is normally distributed with mean 44,000 and standard deviation 12,355. Let X= number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. I only need help on questions B, C, and D.

The number of ants acre in the forest is normally distributed with mean 44,000 and standard deviation 12,355. Let X= number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. I only need help on questions B, C, and D.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

The number of ants per acre in the forest is normally distributed with mean 44,000 and standard deviation
12,355. 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( 44000
12355
b. Find the probability that a randomly selected acre in the forest has fewer than 45,624 ants.
C. Find the probability that a randomly selected acre has between 43,132 and 48,836 ants.
d. Find the first quartile.
ants (round your answer to a whole number)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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