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in real applications it is often the case that the hash table size is not fixed in advance since you dont know in
in a card game we remove the jacks queens kings and aces from a deck of ordinary cards and shuffle them you draw a card
given an array a of length n chosen from some set that has an underlying ordering we can select the largest element of
consider an algorithm that given a list of n numbers prints them all out then it picks a random integer between 1 and 3
i have two nickels and two quarters in my left pocket and 4 dimes in my right pocket suppose i flip a penny and take
let a1 n denote the elements in positions 1 to n of the array a a recursive description of insertion sort is that to
it is also possible to write a version of the randomized selection algorithm analogous to slower quicksort that is when
one idea that is often used in selection is that instead of choosing a random pivot element we choose three random
what is the variance and standard deviation for the number of right answers for someone taking a 100 question short
suppose someone who knows 60 of the material covered in a chapter of a textbook is taking a five question objective
estimate the probability that a person who knows 60 of the material gets a grade strictly between 50 and 70 in the test
you are a contestant in the game show lets make a deal in this game show there are three curtains behind one of the
on a true-false test the score is often computed by subtracting the number of wrong answers from the number of right
this problem derives an intuitive law of probability known as the law of large numbers from chebyshevs law informally
use problem 15 of this section to show that in n independent trials with probability p of successproblem 15draw a graph
draw a graph of the equation y x1 - x for x between 0 and 1 what is the maximum value of y why does this show that the
is a score of 70 on a 100 question true-false test consistent with the hypothesis that the test taker was just guessing
show that the variance for n independent trials with two outcomes and probability p of success is given by np1-p what
we have a nickel dime and quarter in a cup we withdraw two coins first one and then the second without replacement what
draw the minimum number of drawings of trees you can so that each tree with five vertices has one of those drawings
does every tree have a vertex of degree 1 if the answer is yes explain why if the answer is no try to find additional
the internal path length of a binary tree is the sum taken over all internal see exercise 62-11 vertices of the tree of
the height of a rooted or binary tree with one vertex is 0 otherwise it is 1 plus the maximum of the heights of its
aleft right child of a vertex in a binary tree is the root of a left right subtree of that vertex a binary tree is a
it may seem clear to some people that the breadth first number of a vertex is the number of vertices previously added