Consider a situation where three distinguishable particles called x,y,z need to be placed into two containers A and B. How many basic states (microstates) exist for a macrostate which is defined as "container A has two particles"? Note: the order of the particles in a container is irrelevant.

Q: In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers,…

A: Here we have given, In a lottery game, a player picks six numbers from 1 to 21. If the player…

Q: Test the pair of events C and D for independence based on the following table. B 0.28 D E F Total A…

A: From the given table we know that,P(C)=0.20P(D)=0.50P(C∩D)=0.10

Q: Let Y be the random variable that counts the number of sixes which occur when a die is tossed 10…

A: Given that  n = 10 , p = 1/6 , q = 5/6 X ~ Binomial (n = 10 , p = 1/6) X : Number of sixes which…

Q: The ABC facility has 213 pieces of equipment in their facility. Each piece of equipment requires…

A: The probability that a particular or specific substance or thing of apparatus requires cyclic care…

Q: You are preparing the program for a concert. If the band has 10 songs prepared and will play 6 of…

A: band had 10 songs and play 6 of them .  order of song is important.  no. of ways to do programs = ?

Q: Let x be the average number of employees in a group health insurance plan, and let y be the average…

A: Scatter plot is the graphical representation of the relationship between two variables of a…

Q: The main exit gate has an outflow rate of 20 cars per minute which can be modeled as a Poisson…

A: Given that  Exit rate = 20 per minute 1minute 60 seconds Rate=λ=20/60=1/3 34% of times cars choose…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: The given mean is 0 and standard deviation is 1.

Q: Is there a better explaination for part 2 because i dont get how they got there

A:

Q: - 32. For some uniform distribution, there is a 40% probability of drawing an observation between 0…

A: given data uniform distributionx~U(a,b)P(0<x<3) = 0.40a = 0; b = ?

Q: Create an experimental, discrete probability table by rolling three six-sided dice and calculating…

A: When tossing a six-sided dice 3 times,  The total outcomes is 63=216 The outcomes for the totals…

Q: A company produces scooters used by small businesses that find them convenient for making short…

A: electrical mechanical total plant 1 25 44 69 plant -2 69 62 131 total 94 106 200

Q: You are conducting a hypothesis test where the null hypothesis is that mu is less than or equal to…

A:

Q: of 1000 subjects. (Use 3 decimal places.) (a) P(N)     P(M)     P(S)   (b) P(N | W)     P(S | W)…

A: Given that  W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no…

Q: Which of the following is(are) required condition(s) for a discrete probability function?   a. f(x)…

A: A discrete random variable is a variable whose values can be obtained by counting. Though, the…

Q: of significance for the given sample data. Assume that the populations are normally distributed. Use…

A: Given that  Sample size n1=27 , n2=19 Standard deviation s1=11.2  , s2=7.1

Q: The following I need help with this I have found the responses to every answer other than the 3…

A: From given data  50°C 60°C 70°C 30 29 23 20 30 28 32 33 28 35 22 30 28 26 31

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and…

A: given population mean=40000 population sd =5000  probability that a randomly selected tire will have…

Q: 5. Find the number of distinguishable permutations of six colored blocks if one is red, two are…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that (Xn)‰ are iid N(0,1) random variables, and let Sn Ej1Xj. Evaluate for all n € N, =…

A: Given that Xn1∞ are iid N(0,1) random variables. Here Sn=∑j=1nXj. We know that two random variables…

Q: About ____% of the area under the curve of the standard normal distribution is between…

A: The random variable (z) follows standard normal variable with mean 0 and standard deviation 1. The…

Q: A. The length of the stem for five roses were measured as follows: 2, 4, 6, 8, 10. The first…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: a large state University located just a bit North of us. Your null hypothesis is that the overall…

A:

Q: How many (distinguishable) ways are there to rearrange the letters of ILLINOIS?

A: here total letters=8i-3l-2n-1o-1s-1

Q: C1. Let X be a continuous random variable with PDF f(x) = (2-x) for-1 ≤x≤c and f(x) = 0 otherwise.…

A:

Q: Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair…

A: The sample space when two fair dice are cast is S = { (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

Q: recent report in Macau daily indicated that a typical family of four spends MOP4,900 per month on…

A: Let X be the random variable from normal distribution with mean (μ) = 4900 and standard deviation…

Q: You are conducting a hypothesis test about income where the research (alternative) hypothesis is…

A: It is given that  Population mean, μ = 60000 Sample mean, x̄ = 65000 Standard error, SE = 130

Q: Problem #1: Suppose that the random variables X and Y have the following joint probability density…

A:

Q: What is the probability of winning $1,000,000 in a deal or no-deal game where out of 26 cases, 15…

A: Given the deal or no-deal game, in which out of 26 cases, 15 cases are not yet opened.

Q: The expected times and variances for the project activities are given below, critical path is…

A:

Q: Suppose U~ Binomial(n, p) and n > 2. What is P(U > 1)? Select one: O a. O b. (1-p)n-¹[(1 − p) + np]…

A: Given,U~Binomial(n,p)P(U=u)=Cun pu(1-p)n-u      ;  u≥0 Cr=n!(n-r)!×r!n

Q: is) In your drawer, you have 7 pairs of different socks, all mixed together. In total dark- ness,…

A: Given that, A drawer is having 7 pairs of different socks. That means overall 14 socks are present.

Q: You buy a stock that has an annual expected return of 12.05% and a standard deviation of 29.80%.…

A: Given information: You buy a stock that has an annual expected return of 12.05% and a standard…

Q: 15. An experiment consists of rolling a single 9-sided die (#'d 1-9) one time. Find the probability…

A:

Q: Problem #5: Suppose that X and Y have the following joint probability density function. f(x, y) =…

A:

Q: Click the icon to view the table of critical t-values. OC. One can be confident that the all cities…

A: Objective of this question is that which option 8s the correct choice.

Q: 7) What is the probability of that a card chosen at random from a standard deck of card be either a…

A: 52 deck=13(heart)+13(Club)+13(Diamond)+13(spade) 4 queen and 4 king

Q: Problems 5.45 The random variables X and Y are independent and exponentially distributed with…

A: Given  X and Y are independent

Q: A particular fruit's weights are normally distributed, with a mean of 645 grams and a standard…

A: Let X denote the  fruit's weights and it follows normal distribution with a mean of μ=645 grams and…

Q: A shelf in the Metro Department Store contains 100 colored ink cartridges for a popular ink-jet…

A: It is given that  Total cartridges = 100 Defective cartridges = 6

Q: ƒ(x) = ² (2 − x) for -1 ≤x≤c and f(x) = 0 otherwise. (a) Explaining your work, find the value of the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A fair six-sided dice is thrown. The probabilities of the following events have  been marked on the…

A: Given: A: No. less than 7 {1,2,3,4,5,6} B: A "6" is thrown {6} C: An odd number is thrown {1,3,5}

Q: Using a sample of 50, the following regression output is obtained from estimating the linear…

A:

Q: Determine the distribution of Z and find its parameter(s), explaining your argument

A:

Q: 4.75 Use the central limit theorem to verify the following results. (a) The probability of getting r…

A: 4.75. a) In the given situation, 6r fair dice are thrown. When throwing a dice, the probability of…

Q: When leaving a certain subway station a person can exit through any one of three gates, and any…

A: Given When leaving a certain subway station a person can exit through any one of three gates, and…

Q: You are conducting a hypothesis test about income where the research (alternative) hypothesis is…

A:

Q: hello , my answer no graphs needed I want the answers of the writing This project is to help you…

A: Given information: Age Class Math 22 Junior 28 21 Senior 23 22 Senior 25 21 Sophomore 19…

Q: Suppose that 30% of all small businesses are undercapitalized, 40% of all undercapitalized small…

A: Given Information: 30% of all small businesses are undercapitalized. 40% of all undercapitalized…