# density function

1. ### Density probability function considering a subinterval which have different probabilities

Hi I was studying probability density and on a site I read this example Mr. Rossi waits for a phone call from Mr. Bianchi who has announced that he will call, in an unspecified instant, between 4:00 pm and 6:00 pm. Mr. Rossi must however be away from 4.45 pm to 5.00 pm. What is the probability...
2. ### Interpretation of probability density function - uniform distribution

Dear all, I'm having some problems in the interpretation of the probability density function. Until now I thought that f(x) for a continuous random variable was equal to the probability that X took a specific value in a tiny interval dx. But this interpretation is obviously wrong because in...
3. ### CDF of a PDF with a negative power

I need to solve the following problem: For a marine hull insurance policy, a claim occurs with probability 0.DD, where DD represents the two date-digits of your birthday (DD.MM.YYYY). If a claim occurs, it has a probability density given by fB(x)=c·x^(−1.5), 1<x<YYYY, where YYYY are the...
4. ### Density probability of a normal distribution at a point in a CASIO calculator

I do not understand the utility of calculating the density probability in a point in the case of a continuous variable (for example in the case of the normal distribution). Some CASIO calculator include a function ("normal P. D.") which calculate the value of the density function of normal at a...
5. ### Multivariate normal distribution, not full rank, probability density function

If X has a multivariate distribution of full rank and Y is the sum of the elements of X. Then (X,Y) is a multivariate normal distribution but not of full rank, then as I understand you can not calculate a density function for it. However would I be able to say the density function of (X,Y) is...
6. ### summing two probability density functions---Gompertz hazard model?

Hi, r-help members. I have a question about summing two density distributions. I have two samples from which I've estimated hazard parameters for a Gompertz mortality model. With those parameters, I can calculate the PDF (survival function times hazard function) of ages-at-death in a birth...
7. ### Generating Random Sample

I know that SAS can easily generate random samples for know distributions - normal, exponential, uniform. But how can I generate a random sample from a known probability distribution (that is not listed)? The probability distribution is rather simple: f(x) = 2x^-3 So, how can I generate a...
8. ### Help with derivation of probability density of {event generation} & {event detection}

I would like to specify a new probability distribution that relates to an event of size M being produced by some process and subsequently detected. Some assumptions : 1) If the event is detected there is no loss of information regarding its size. 2) There are no false detections - An...
9. ### help for task in R programming language

This is my task. I don't know how to solve it in R studio. Please help me!!! Simulate: a) 15 values from N(0,1) distribution b) 50 values from N(1,5) distribution c) 30 values from exp distribution with parametar 2 For all these I hade to find mean, standard deviation, deviation. And...
10. ### on the probability density function

Good morning to all. I have a question: I have a data set X={x_1, x_2, ... , x_N} with probability density function P(x) (suppose continuous); if I operate on data with any mathematical function f(x) (square, power, exponential, trigonometric...), how is the new probability density function...