2. For each of the following combinatorial problems, give a function G(x) and a value of...
2. For each of the following combinatorial problems, give a function G(x) and a value of k such that the answer to the problem is the r coefficient of G(x) (e.g. if I had asked how many subsets of size 7 there are of a set of size 10, one answer would be "The z7 coefficient of "). 2c. I have a drawer containing 5 identical red beads, 6 identical blue beads, and 4 identical green beads. How many ways...
You have a pair of 4-sided dice. The four sides of each die are numbered 1, 2. 3, and 4. Each time the pair of dice is rolled, you add the numbers from each die. Out of all the possible ways the dice can land, how many of them give you a sum of 5? Number How many ways give you a sum of 8? Number What is the probability of rolling a sum of 7 with these dice? Number
1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways are there to select 20 balls? 2. A b ox 3. Find a1e for each of the following generating functions: 1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways...
Calculate each of the following events (1) A box of 50 light bulbs contains 3 defectives. If 5 bulbs are sampled at random from this box (without replacement), find the probability that the sample contains no defectives (2) A drawer of socks contains seven identical red socks, eight identical blue socks and nine identical green socks. Two socks are randomly picked out in the dark. What is the probability that they match? (3) Thirty people are gathered in a room....
needs help with these problems Easy Sect. # 2 A club has 8 doctors, 10 enginears, and 12 lawyers, It a person is picked at random, what is the probability that be or she is a lawyer? Easy Sect. 2 engineer? A elub haa 8 doctorn, 10 angineers, and 12 laxyora. It a person in picked at randon, what is the probability that he or she is not an 5-204 It a die ia rolled ance, what is the probability...
1. Consider the following data: 18, 20, 25, 31, 32, 38, 39, 40, 43, 49, 51, 54, 65, 74 Use 4 classes. a. Class width : b. Complete the following table. ????? ?????? ????? − ????? Class Boundaries Midpoint Frequencies Relative Frequencies Cumulative Frequencies c. Draw a histogram. d. Draw a relative frequency histogram. e. Make a stem-and-leaf display. f. Find the interquartile range. g. Make a box-and-whisker plot. h. Determine the distribution shape. Please comment on all three plots....
please complete the questions has not answering with clarification of the answer to any page Name Lab Section _Date The Mole Concept and Atomic Weights The purpose of this activity is to better understand the concepts of relative atomic mass, counting by weighing and the mole. Percent composition and average atomic mass are included. Part I. Relative Atomic Masses and the Mole - Early Method When John Dalton proposed his atomic theory, he stated that the atoms of each element...
ONLY NEED H, I, J, K, L, M 1. (65 points: 5 points each) For each situation below, what is the most appropriate probability model for the random variable X? (no n a) Let X - how many customers will buy a sofa tomorrow at Wolf's furniture store. b) In a program that provides free home inspections for seniors, let X- how many homes eed to specify parameter values) are inspected before one needs a new roof. c) Let X...
specifically on finite i pmu r the number of objøcts or ways. Leave your answers in fornsiala form, such as C(3, 2) nporkan?(2) Are repeats poasib Two points each imal digits will have at least one xpeated digin? I. This is the oounting problem Al ancmher so ask yourelr (1) ls onder ipo n How many strings of four bexadeci ) A Compuir Science indtructor has a stack of blue can this i For parts c, d. and e, suppose...