Martha has to put on socks before leaving her house in the morning. She has a drawer in her bedroom which contains \(N\) different pairs of socks. Martha starts pulling socks from the drawer one by one, and a soon as she gets a matching pair, she stops and departs for work. Find the expected value \( \mathbb{E}\left( X \right) \) of the number of socks she has to pull every day from her drawer before she can leave her house.
Category Archives: Math
Local Time Random Walk
Published August 29, 2018 / by Viktor1. Find the probability.
2. Find the distribution of the probability.*
$$P \bigg( \int \limits_0^1 \mathbb{1}_{\mathbb{W} \gt 0} \, d \,\mathbb{W} \gt 0 \bigg)$$ Continue reading
Log of Gamma Function
Published August 29, 2018 / by ViktorEvaluate the following integral:
$$\int \limits_{t}^{t+1} \ln \Gamma \left( z \right) dz$$ Continue reading