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Mathematical models are used as tools to describe reality. These models are supposed to characterize the important features of the analyzed phenomena and provide insight. The normal distribution is an example of a random variable that is widely used by researchers to model real data.
Researchers often model real observations using the normal distribution, but sometimes the real distribution is a bit different from the perfect, normal distribution. List some reasons why researchers might make approximations like this and describe at least one situation when researchers should not use this approximation.
When forming your answer to this question you may give an example of a situation from your own field of interest for which a random variable can serve as a model.
Two people are to meet in the park. Each person is equally likely to arrive, independent of the other, at 2:00, 2:30, or 3:00 p.m. Let Xequal the time that the first person to arrive has to wait, where Xis taken to equal 0 if both people arrive at..
Using the definition of the derivative, find the slope of the tangent line to the curve at the point (5, f(-5)). Write the equation of the tangent line to the curve at the point (5, f(-5)).
Hurricanes,some of the largest storms on earth, are low pressure area with diameters of over 500 miles. the barometic air pressure inches of mercury at a distance of x miles from the eye of a severe hurricane is modeled bu formula f(x) = 0.48 in (x +..
What is the probability that a part that starts in Process A will make it to shipping in two steps? Show the values that you are combining to solve this.
find the auxiliary equation, the homogenous solution and the particular solution -
A certain scientific theory supposes that mistakes in cell division occur according to a Poisson process with rate 2.5 per year, and that an individual dies when 196 such mistakes have occured. Assuming this theory, find the variance of the lifeti..
Basic arithmetic problem - What is the overall percentage of five test grades: 96%, 98%, 89%, 95% & 97%? I need the work shown.
When x5 = 0, what is the minimum value of x4?
what is the average velocity of the car between t = 0 and t = 40 seconds? what is the velocity of the car at t = 40 seconds? what is the distance traveled from t = 0 to t = 40 seconds?
Find the equation of the line and you can write your answer in the following form: p = mx + b. Normally in this class, you would probably use the "y = mx + b" format. You are basically substituting the variable "y" with "p".
Describe at least three (3) influences on decision making by a judge. Indicate at least two (2) reasons why you believe these influences are the most influential to the process.
Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear. What is y-intercept of the graph?
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