probability density

Hello guys, so we got this additional task to solve for a post-modul at university: - The intermediate arrival time of a bus is normal distributed - The expected value of the intermediate arrival time during rush hour is 4 minutes - The standard deviation of the intermediate arrival time is 50...

Hi All I am currently doing Master in data science. I came across the function PDF probability density function which is used to find cumulative probability(range) of a continuous random variable. The PDF probability density function is plotted against probability density in y axis...

Hi! I am doing a problem using the exponential distribution function, but I'm having trouble understanding iii. There was a typo and the answer for iii is actually e^-4lambda, but I still don't understand how i'd get there. I think I have to use conditional probability but even then I'm not...

Hi all, I have a question that I can't find answer to: I have 10 random variables X1, X2....X10 which are all independent and exponentially distributed with parameter=2 Xi~exp(2) for i between 1 and 10. Now the argument says that the probability that the sum of all 10 X's is larger...

Hi All, First of all, thanks for showing an interest in this thread, and secondly, if your so kind to give your thoughts, I'd be so grateful. Background - We work with financial bank statements for fraud investigation. - I have converted a bank statements debit transactions into a scatter...

Hi, Does anyone know the name of the probability distribution with the following density function? f_X(x)=\frac{\Gamma[\alpha,x]}{\Gamma[\alpha+1]}, where x>0, \alpha>0, \Gamma[\alpha,x] is an upper incomplete gamma function, and \Gamma[\alpha] is a gamma function. I occasionally...

The following is a question that is likely to be appear on my exam on Friday (tomorrow) but contextualised into a different scenario. I'm having serious difficulty figuring out how to go about answering it. If anybody has encountered something similar and could provide a step by step explanation...

Dear Forum, I want to calculate the safety stocks required by our company to achieve a certain service level for our customers. The basic literature around this topic is quite clear: • Find the Standard Deviation of the Demand (expressed in weeks of demand in my case) • Define the service...

Using the normal distribution. Let X  N(1, 2) and Y  N(2, 3) where N(μ, variance) denotes the normal distribution with mean μ and variance . X and Y are independent. Let U = 2X + 3Y . What is the mean of U? What is the variance of U? What is P(6<=U<=7.5)? What is P(X>Y)?

Hi all. I'm far from a stats connoisseur, and will probably use all the wrong words and describe my problem poorly. But I've got to figure it out and literally any help or direction would be greatly appreciated. I've got a set of observations, each consisting of seven two-dimensional...