A small club of five people, {A,B,C,D,E} needs to elect a committee comprised of two people. Enumerate the sample space for these positions to show that this is an example of a combination with n = 5 and r = 2. Express the sample space outcomes as (Member 1, Member 2).
A small club of five people, {A,B,C,D,E} needs to elect a committee comprised of two people....
A committee of 2 people is to be selected from 6 executives, Alam, Bartolini, Chinn, Dickson, Elsberg, and Francis. Write out the sample space S, choosing an S with equally likely outcomes, if possible. Then give the value of n(S) and tell whether the outcomes in S are equally likely. Finally, write the indicated events below in set notation. a. Ellsberg is on the committee. b. Alam and Bartolini are not both on the committee. c. Both Bartolini and Chinn...
III HW4-102,10.310.4.10.5 V • Counting and Probability Counting and Probability OD Probability of five-card hands Determining a sample space and outcomes for a compound event PE ty Tags: Goal Took Locked, visoo Tags Go Topic Video Tags: Answer the questions below Х (a) A certain committee consists of 17 people. From the committee, a president, a vice-president, a secretary, and a treasurer are to be chosen. In how many ways can these 4 offices be filled? Assume that a committee...
A small society of nine people holds the following preferences over five alternatives S, D, C, T, and H. In the list of alternatives that indicates their preference ordering, the left alternative is the most preferred and the right alternative is the least preferred. In addition, all outcomes to the left of the double vertical lines || are “approval-worthy.” • 12 Voters: H C D || T S • 9 Voters: D T C || H S • 18 Voters:...
Consider a finite population with five elements labeled A, B, C, D, and E. Five possible simple random samples of size 4 can be selected. a. Choose the correct list of the 5 samples. - Select your answer - b. Using simple random sampling, what is the probability that each sample of size 4 is selected? C. Suppose we use Excel's RAND function to assign random numbers to the five elements: A(0.2826) B(0.9735) C(0.527) D(0.3673) E(0.5364). List the simple random...
Imagine a room containing fourteen people, whose ages are as follows: one person aged 14, one person aged 15, three people aged 16, two people aged 22, two people aged 24, five people aged 25 This age distribution is summarized in the following plot, where j is age, and N() is the number of people in the room that have age j (a) Write a formula for the probability that a random person from the room has age j (b)...
Could anyone help me with the question (d) and (e)? I've
finished the question (a), (b) and (c).
You don't need to solve the question (a), (b), and (c),
and you could use them directly.
And the following 2 are (b) and (c).
(a) Let (X,M, μ) be a measure space and T : X → y a mapping from X oni at Y Prove thai (i) N (B C y : T-1 (B) EM} is a σ-algebra of subsets...
Consider a finite population with five elements labeled A, B, C, D, and E. Ten possible simple random samples of size 2 can be selected. A. List the 10 samples beginning with AB, AC, and so on. B. Using simple random sampling, what is the probability that each sample of size 2 is selected? C. Assume random number 1 corresponds to A, random number 2 corresponds to B, and so on. List the simple random sample of size 2 that...
5 Consider the following air pneumatic system which is comprised of two rigid tanks of volume V and V2. The variables δΡ-6p, and δΡ are small deviations around a reference steady-state pressure as The pneumatic lines have linearized resistances R1 and R Ci Py P2 a. Determine the pneumatic capacitances, Ci and Ca for the tanks undergoing an isothermal process at temperature T b. Derive a model of the pressures δΡυ and δΡ with δp, as the input. c.Define the...
need help with b,c,d,e
Course Home <Ch 31: Electric Circuits Problem 31.55 In the the circuit in Floure 1) R = 400 A. R 900 R R 200 and E. 15 V. The electric potential at location d is defined to be because the negative terminal of the battery latached to ground What is the equivalent resistance of the circuit in the figure? Express your answer with the appropriate units. R = 15000 Previous Answers Figure 1 of 1 All...
Q3 * You are given two subsets A, B C M of a metric space M. Define p by p=inf{d(x, y)| 2 € A, Y E B}. Prove that, if p > 0 then A and B are separated. Give an example where p=0, but A and B are not separated. Q4 Show that Q as a subset of R is disconnected. Likewise show R Q is disconnected.