According to wikipedia lack of memory property applies to geometric and exponential distributions. I was trying to apply it to binomial distribution. Am I modelling my question correctly?
So imagine a fair coin toss and X the random variable for number of heads. Assume number of trials to be 7.
Question: what is the probability that in seven tosses of a fair coin first 2 are tails and in remaining 5 tosses you get three heads?
So should the answer be:
0.5 x 0.5 x (5c3 x 0.5^3 x 0.5^2)
And how is it different from the following question:
Tom tosses a coin twice and gets 2 tails. What is the probability that he will get three heads in remaining 5 tosses?
If the lack of memory property came into picture second time then is it correct to say that lack of memory property applies to binomial distribution too.
Best Answer
to the second question: The first two tosses must not be considered because the results already confirmed.
greetings,
calculus