The discussion focuses on the probability distribution of the stochastic variable X, representing the number of attempts needed to correctly guess the last digit of a pin code. The probabilities are calculated as follows: P(X=1) = 1/10, P(X=2) = 9/10 * 1/9, and P(X=3) = 9/10 * 8/9 * 1/7, continuing this pattern up to P(X=10). Participants confirm the calculations and inquire about capturing P(X=x) in a generalized formula. The conversation emphasizes the mathematical approach to understanding discrete probability distributions.
PREREQUISITESStudents in statistics, mathematicians, and anyone interested in probability theory, particularly those studying discrete distributions and their applications in real-world scenarios.
Max.Planck said:Homework Statement
What is the distribution of stochastic variable X = "the number of attempts needed to find the correct last digit of a pin code"
Homework Equations
The Attempt at a Solution
I thought it was like this:
P(X=1) = 1/10
P(X=2) = 9/10*1/9
P(X=3) = 9/10*8/9*1/7
...
...
P(X=10) = 9/10*8/9*7/8*6/7*5/6*4/5*3/4*2/3*1/2*1
Thank you!
Ray Vickson said:Looks good.
RGV