750 views
1 votes
1 votes
Each day, you independently decide, with probability p, to flip a fair coin.
Otherwise, you do nothing. (a) What is the probability of getting exactly 10 Heads in the first
20 days? (b) What is the probability of getting 10 Heads before 5 Tails?

Please log in or register to answer this question.

Related questions

0 votes
0 votes
0 answers
1
Pooja Khatri asked Sep 27, 2018
391 views
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large.(c) How large should $n$ be so that the probability in(b) is larger than $0...
1 votes
1 votes
1 answer
2
Pooja Khatri asked Sep 27, 2018
609 views
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large.(b) Write down an approximation, in terms on $n$ and $\phi$, of the probabi...
0 votes
0 votes
1 answer
3
Pooja Khatri asked Sep 27, 2018
473 views
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large.(a) Compute the expectation $EM$.
1 votes
1 votes
0 answers
4
Pooja Khatri asked Sep 27, 2018
318 views
Toss a fair coin twice. You win $1$ dollar if at least one of the two tosses comes out heads.(b) Approximately how many times do you need to play so that you win at least...