[T] Suppose that a set of standardized test scores is normally distributed with mean μ = 100 and standard deviation σ = 10. Set up an integral that represents the probability , that a test score will be between 70 and 130 and use the integral of the degree 50 Maclaurin polynomial of 1 2 π e − x 2 / 2 to estimate this probability.
[T] Suppose that a set of standardized test scores is normally distributed with mean μ = 100 and standard deviation σ = 10. Set up an integral that represents the probability , that a test score will be between 70 and 130 and use the integral of the degree 50 Maclaurin polynomial of 1 2 π e − x 2 / 2 to estimate this probability.
[T] Suppose that a set of standardized test scores is normally distributed with mean
μ
= 100 and standard deviation
σ
= 10. Set up an integral that represents the probability , that a test score will be between 70 and 130 and use the integral of the degree 50 Maclaurin polynomial of
1
2
π
e
−
x
2
/
2
to estimate this probability.
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.
Explain the key points and reasons for 12.8.2 (1) and 12.8.2 (2)
Q1:
A slider in a machine moves along a fixed straight rod. Its
distance x cm along the rod is given below for various values of the time. Find the
velocity and acceleration of the slider when t = 0.3 seconds.
t(seconds)
x(cm)
0 0.1 0.2 0.3 0.4 0.5 0.6
30.13 31.62 32.87 33.64 33.95 33.81 33.24
Q2:
Using the Runge-Kutta method of fourth order, solve for y atr = 1.2,
From
dy_2xy +et
=
dx x²+xc*
Take h=0.2.
given x = 1, y = 0
Q3:Approximate the solution of the following equation
using finite difference method.
ly -(1-y=
y = x), y(1) = 2 and y(3) = −1
On the interval (1≤x≤3).(taking h=0.5).
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY