第 5 / 5 页
非代码面试题
显示 10 / 90 道匹配题目
答题状态：未尝试未正确已正确
ID题目领域难度题型进度权限
190Expected Number of Odd-Load BinsEight labeled balls are independently assigned to five labeled bins. What is the expected number of bins that end up with an odd load?概率困难数值题未尝试免费191Two Tagged Balls Stay IsolatedBalls 1 and 2 are tagged. Six labeled balls are independently assigned to four labeled bins. What is the probability that ball 1 and ball 2 land in different bins and each of those two bins contains no other ball?概率简单数值题未尝试免费192Exact Occupancy Profile 2-2-1-0Five labeled tasks are independently assigned to four labeled queues. How many assignments produce queue loads that, after sorting, equal (2,2,1,0)?概率中等数值题未尝试免费193Conditional Expected Occupancy of a Nonempty UrnFour distinguishable balls are thrown independently and uniformly at random into 3 distinguishable urns. Given that urn 1 is nonempty, what is the expected number of balls in urn 1? Give an exact fraction.概率中等数值题未尝试免费194Variance of the Number of Occupied UrnsFour distinguishable balls are thrown independently and uniformly at random into 3 distinguishable urns. Let N be the number of nonempty urns. Find Var (N). Give an exact fraction.概率困难数值题未尝试免费195Expected Time to First Collision in Six UrnsBalls are thrown one at a time, each landing independently and uniformly at random into one of 6 urns. Let T be the index of the first ball that lands in an already-occupied urn (so T \ge 2). Derive E[T] and give an exact fraction.概率困难derivation未尝试免费196Strictly Descending Loads Across Three Named BinsSeven labeled packets are independently assigned to three labeled bins A, B, C. How many assignments produce loads satisfying load(A) > load(B) > load(C)?概率简单数值题未尝试免费197Expected Number of Heavy BinsEight labeled balls are independently assigned to four labeled bins. What is the expected number of bins whose load is at least three?概率简单数值题未尝试免费199Expected Maximum Urn OccupancyFour distinguishable balls are thrown independently and uniformly at random into 3 distinguishable urns. Let M = \max(X 1, X 2, X 3) be the maximum number of balls in any single urn. Find E[M]. Give an exact fraction.概率中等数值题未尝试免费200Full Distribution of Empty Urns via Stirling NumbersSix distinguishable balls are thrown independently and uniformly at random into 5 distinguishable urns. Let E denote the number of empty urns. Derive the probability mass function P(E = k) for every possible value of k, expressing each probability as an exact fraction.概率困难derivation未尝试免费