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
A probability distribution is a mathematical function that describes the likelihood of a random variable taking on a certain value or range of values. It can be used to model and predict the outcomes of random events.
In pin code guessing, probability distribution can be used to determine the likelihood of a certain combination of numbers being the correct pin code. By using a probability distribution, one can calculate the probability of guessing the correct pin code and make more informed guesses.
The factors that affect the probability distribution in pin code guessing include the number of digits in the pin code, the allowed range of numbers for each digit, and any known information about the pin code (such as common patterns or repeated numbers).
One can improve their chances of guessing the pin code by using the probability distribution to make educated guesses. By considering the factors that affect the distribution, one can eliminate unlikely combinations and focus on more probable ones.
Yes, there are limitations to using probability distribution in pin code guessing. The accuracy of the distribution depends on the quality of the data and assumptions made about the pin code. Additionally, the use of probability distribution does not guarantee a correct guess, as it is still based on chance.