Horse pregnancies. Bigger animals tend to carry their young longer before birth. The length of horse pregnancies from conception to birth varies according to a roughly normal distribution with a mean of 336 days and a standard deviation of 6 days. Sketch a graph of the distribution of lengths of horse pregnancies. Label the mean and the points that are 1, 2, and 3 standard deviations from the mean. Upload the picture belowUse the 68-95-99.7 rule to estimate the percentage of horse pregnancies that are no longer than 342 days.

Answered: Horse pregnancies. Bigger animals tend…

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...

See similar textbooks

Related questions

Concept explainers

Question

Horse pregnancies. Bigger animals tend to carry their young longer before birth. The length of horse pregnancies from conception to birth varies according to a roughly normal distribution with a mean of 336 days and a standard deviation of 6 days.

Sketch a graph of the distribution of lengths of horse pregnancies. Label the mean and the points that are 1, 2, and 3 standard deviations from the mean.

Upload the picture below

Use the 68-95-99.7 rule to estimate the percentage of horse pregnancies that are no longer than 342 days.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step 1

68-95-99.7 rule :

According to 68-95-99.7 rule ,

1) 68% of data falls within the first standard deviation from the mean
In mathematical notation, this is represented as: μ ± 1σ

2) 95% fall within two standard deviations
In mathematical notation, this is represented as: μ ± 2σ

3) 99.7% fall within three standard deviations.
In mathematical notation, this is represented as: μ ± 3σ

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.