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Probability Density Function

Probability density function

Assume that X is a random variable with a probability density function f(x)=cx^2, -1<x<1 0, otherwise Find the constant c;

Median Integration

Solve the median for the probability density function in the attached file 'Median.doc'.

Probability density function

3.) Suppose X has probability density function f(s) = c(1 + s) for -1 <= s <= 1. Determine c and the mean, variance, and standard deviation of X. Let Y = 3X + 5. compute the mean, variance, and standard deviation of Y.

Probability Problem

Epidemiologists at a medical center in the Northeast are interested in the etiology of anthracosis ("Black lung" disease), caused by the inhalation of coal dust. All the coal miners in a particlar cummunity were screened and classified according to their length of employment in the coal mines and whether symptoms of anthracosis

Probability Question

A major department store chain is planning to open a store in a new city. Five cities are being considered: Boston, Atlanta, Dallas, Cleveland, and Los Angeles. A. List the simple events associated with this experiment. B. Assign a probability to each simple event; assuming each city has an equal chance of being selected.


A rare disease has just broken out. Doctor Johnson is trying to help, but while treating patients he might expose himself to the disease. He takes many precautions, but he doesn't know how much he's been exposed. Let the number x represent Doctor Johnson's exposure level. He doesn't know it for sure, but he assigns a uniform dis


Here are questions 33 and 34 to assist in answering question 52. 33) Let X be a random variable with probability density f(x)={c(1-x^2), -1<x<1 0 otherwise (a) What is the value of c? (b) What is the cumulative distribution function of X? 34) Let the probability

Microscopic Toolmark Analysis

I am conducting research on microscopic toolmark analysis. If I have a toolmark with 27 striations (lines) of varying spatial relationships (orientations), widths and densities, do I use the combination formula to determine the probablity that another toolmark will by chance have a group of at least eight consecutively matching