I'm asking for help with the "Application to Biology-Normal Distributions" portion up to the bullet point that starts with "For each of the following probabilities..." Application to Biology - Normal DistributionsFor a certain type of salamander, the mass X of a randomly chosen adult is normally distributed.• If 95% of adults in this species have a mass between 6.7 grams and 8.1 grams, what can we infer aboutthe likely mean and standard deviation of X? Tell me about your process in coming up with adistribution. Sketch a graph of the distribution of X, with the mean and standard deviation shown. Youcan either sketch the graph and use it to determine the mean and standard deviation, or find it anotherway and then sketch it to illustrate.For each of the following probabilities, sketch a graph of the distribution of X illustrating thecalculation. Then find the probability using technology, telling me how you choose the computation youtell the technology to do for you.P(X<7)P (6.8 < X < 7.1)P(X> 8.6). Find the z scores associated to the values above, and explain how they are related to the standarddeviation of X. Sketch the standard normal distribution and illustrate the associated probabilities. Howdo they compare with your original illustrations?Find the mass of a salamander with a z score of z = -1.2 and explain your reasoning. Illustrate on boththe standard normal distribution and the original distribution for X.#Suppose you have a salamander which is in the 88th percentile for mass.• What is its mass? Tell me about how you find this, and illustrate on the distribution of X.. What is its z score? Tell me about how you find this, and illustrate on the standard normaldistribution.• What is the probability that a randomly chosen salamander will have a greater mass? Tell me abouthow you find this, and illustrate on both the standard normal distribution, and on the distribution ofX.

For a certain type of salamander, the mass X of a randomly chosen adult is normally distributed. . If 95% of adults in this species have a mass between 6.7 grams and 8.1 grams, what can we infer about the likely mean and standard deviation of X? Tell me about your process in coming up with a distribution. Sketch a graph of the distribution of X, with the mean and standard deviation shown. You can either sketch the graph and use it to determine the mean and standard deviation, or find it another way and then sketch it to illustrate.

For a certain type of salamander, the mass X of a randomly chosen adult is normally distributed. . If 95% of adults in this species have a mass between 6.7 grams and 8.1 grams, what can we infer about the likely mean and standard deviation of X? Tell me about your process in coming up with a distribution. Sketch a graph of the distribution of X, with the mean and standard deviation shown. You can either sketch the graph and use it to determine the mean and standard deviation, or find it another way and then sketch it to illustrate.

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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