Explore BrainMass

Explore BrainMass

    Probability Density Function

    BrainMass Solutions Available for Instant Download

    Probability Density Function - Complex Gaussian Noise

    Referencing the attached: NOTE: The solution for part B is highlighted within the attached file. Re-stated here it is: p(I) = ( 1 / < I > ) exp ( - I / < I > ) I'm not sure how. Part a, is essentially: Integral (infinity, 0) p(I, theta) di. which according to my calculation equals: - 1 --

    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;

    Radial probability of hydrogen wave function

    Show that the radial probability density for n=2, l=1, m=0 for the hydrogen atom can be written as: P(r) = A*cos(q)^2*r^4*exp(-r/a) Show that the most likely position of the electron is found at r=4a See attached file for full problem description.

    Functions of Random Variables: Distribution Functions

    See the attached file. 1) Let Y be a random variable with a density function given by f(y1) = 3/2y^2 , -1 <y1<1 f(y1) = 0, elsewhere a) find the density function of U1 = 3Y using the method of distribution. b) find the density function of U2 = 3-Y using the method of distribution. c) find the density functi

    Median Integration

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

    Joint and Marginal Probabilities

    Let X1 and X2 be two independent standard normal random variables. Let Y1 = X1+X2 and Y2=X1/X2. a) Find the joint density of Y1 and Y2 b) Find the marginal density of Y1 and Y2 (The distribution of Y2 is known as the Cauchy distribution).

    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 distribution for discrete random variables

    From past experience, an automobile insurance company knows that a given automobile will suffer a total loss with probability .02, a 50% loss with probability .08, or a 25% loss with probability .15 during a year. What annual premium should the company charge to insure a $10,000 automobile, if it wishes to "break even" on all p

    Probability of Absence Symptoms

    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

    List the simple events associated with this experiment.

    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.

    Distributions for Disease Exposure Levels

    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

    Probability

    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