In Problems 17-24, use the given information to determine the number of elements in each of the four disjoint subsets in the following Venn diagram. n A ' = 110 , n B ' = 220 , n A ' ∩ B ' = 60 , n U = 300
In Problems 17-24, use the given information to determine the number of elements in each of the four disjoint subsets in the following Venn diagram. n A ' = 110 , n B ' = 220 , n A ' ∩ B ' = 60 , n U = 300
3. In how many ways can this diagram be coloured subject to the following
two conditions?
(i.) Each of the smaller triangle is to be painted with one of the three
colours: White, black or blue.
(ii.) No two adjacent regions have the same colour.
If "C, = "C,, then n is equal to
4.
If "P, = 840, "C, = 35, then r = ,
5.
1SC, + 1$C, - 1C, - "C, =
6.
3B.2.2 Please refer to the attached image for my question!
5. Each of the 50 students in class belongs to exactly one of the four groups A, B, C, or D. The membership numbers for the four groups are as follows: A: 5, B: 10, C: 15, D: 20. First, choose one of the 50 students at random and let X be the size of that student’s group. Next, choose one of the four groups at random and let Y be its size. (Recall: all random choices are with equal probability, unless otherwise specified.)
(a) Write down the probability mass functions for X and Y .
(b) Compute E[X] and E[Y] .
(c) Compute Var(X) and Var(Y ).
(d) Assume you have 55 students divided into n groups with membership numbers s_1, . . . , s_n, and again X is the size of the group of a randomly chosen student, while Y is the size of the randomly chosen group.Let E[Y] = μ and Var(Y)= σ^2. Express E[X] with s,n,μ,and σ.
Chapter 7 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY