Solve the following problems involving permutations and combinations. Show your solution. 1. In how many ways can a president, vice-president, secretary and a treasurer be selected from the 15 JHS students?

Q: Identify if the following are valid probability distributions for a discrete random variable X. a. 4...

A: We have given that  Probability distribution  for discrete.  Condition for probability distribution ...

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A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only fi...

Q: he University of Miami bookstore stocks textbooks in preparation for sales each semester. It normall...

A: Given: Sales price = $112 Cost price = $82  

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A: Given company makes electronic gadgets. One out of every 50 gadgets is faulty, but the company doesn...

Q: Task 15. It is known that 96% of the output of all products satisfies the standard. The simplified c...

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Q: Find P(saving patient)

A: here as per guidelines i have calculated first main question kindly repost remaining with note i nee...

Q: What proportion of the adult men in the United States are at least 6 feet tall?

A: here mean= 69.5 inches standard deviation =  3.5 inches Y = height of men

Q: In the experiment of flipping a coin four times, what is the probability of obtaining odd number of ...

A: Let A and B be two events with P(A) > 0. Then the conditional probability of B given A, denoted b...

Q: is the number of ways of selecting from a set when the order is not important. a. Circular Permutati...

A: The number of ways selecting from a set when order is not important is called Combination.     Note:...

Q: 5. Suppose that the population distribution has the probability density function e-(z-8) if x >0 f (...

A: In question, We have given the pdf of random variable X then we'll find the MLE of theta. The soluti...

Q: he decides to get 3 scoops of ice cream. Again, he decides to have the tender at the shop randomly c...

A: Here Given  Jerome had 5 Choice for the ice cream flavours vanilla, chocolate, rocky road, purple co...

Q: Changes in airport procedures require considerable planning. Arrival rates of aircraft are important...

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Q: Class 10R sat a test. The mean mark for the class was 70%. There are 30 students in class 10R, 20 of...

A: Given: Total student (n)=30Number of boys (nb)=20Mean (μ)=70%Mean for boys (μb)=62%

Q: What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your ...

A: The coin is flipping 85 times. Let , random variable X be the number of getting tails The probabilit...

Q: In an elimination tournament the teams are arranged in opponent pairs for the first round, and the w...

A: Since all outcomes are equally likely, there is 50% chance that North Carolina will win against Cent...

Q: Among the details made by the motor factory, 10% are defective. Find the mean and the standard devia...

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Q: tative Question A university is hosting a music festival and will sell tickets online. They know tha...

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Q: 1.) In a binomial experiment, the probability of success in each trial is 0.45, and 30 trials are pe...

A: We have given that  Number of trials n=30 Success of probability p =0.45 q=1-p X~binomial ( n,p)

Q: A club consists of 12 men and 15 women. In how many ways can this club choose a committee of 3 men a...

A: We have given  A club consist of 12 men and 15 women We have to find in how many ways can this club ...

Q: Question * Given the following discrete probability distribution: -2 1/8 fx) 2/8 2/8 2/8 1/8 Then P(...

A: We have given that the discrete probability distribution with X has -2, 0, 1 and 2.

Q: An airfreight company has various classes of freight. In one of these classes the average weight of ...

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively. Thus...

Q: Independent random samples are selected from two populations. Below are the sorted data from the fir...

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Q: A box contains a set of 15 billiard balls. Two balls are drawn together from the box. Compute the pr...

A: Total number of balls = 15 We have to select 2 and find that sum of number is odd      

Q: use a normal approximation to find the probability of the indicated number of voters. in the case, a...

A: Given,n=136p=0.22mean(μ)=npmean(μ)=136×0.22mean(μ)=29.92standard deviation(σ)=np(1-p)standard deviat...

Q: Using an illustration, explain the concept of betting odds

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Q: Let G be a simple graph with 15 vertices and 4 connected components. Prove that G has at least one c...

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Q: Three students X, Y and Z, each shoot at a target. The probability of hitting the 1 5 target by X, Y...

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Q: Ho :p 2 0.5 vs. Hị : p< 0.5. i.e. the hypothesis that candidate A will not loose the election). Supp...

A: The null and alternative hypotheses are: The test is left-tailed.   Sample size (n) = 20

Q: In a survey of 500 students in a university, 200 are enrolled in Psych 101, 180 are enrolled in Span...

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Q: The z-score for the sampling distribution is given by z = Suppose the population mean amount of hour...

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Q: James and Davis belong to the same basketball team. After so many 3- point attempts, James recorded ...

A: We have given that P( James will shot)= p1 = 11/20  P( James will not shot)= q1 = 8/20  P( Davis wil...

Q: Find the approximate weights The following distribution represents the data for weights of grade 5 s...

A: Given that  Class Frequency 52.5 - 55.5 9 55.5 - 58.5 12 58.5 - 61.5 17 61.5 - 64.5 22 ...

Q: that the numbers on them make up a certain four-digit number. Find the likelihood that when installi...

A: Here In secret lock on the common axis are having four disks, and each disk is divided into  the fiv...

Q: n, is this a good investment? *

A: Here A local club plans to invest $10000 to host a baseball game. They expect to sell tickets worth ...

Q: Three hunters shoot at the wolf. They hit the wolf with the probabilities of 0.8, 0.2, and 0.4, res...

A: Probability : Probability merely refers to however probably one thing is to occur. after we square m...

Q: Frisbees comes in 5 models, 6 colors and 3 sizes. How many Frisbees must the local dealer have on ha...

A: We have given that 3 types of Frisbees namely 5 models, 6 colours and 3 sizes.   Combination formula...

Q: D. There are instances where system error occurs which greatly affects the mechanics of the game. In...

A: Given: It's given that 1 system error occurs in every 500 games

Q: A printer manufacturer obtained the following probabilities from a database of test results. Printer...

A: Given that - A printer manufacturer obtained the following probabilities from a database of test res...

Q: Determine the cumulative distribution function for f(x) = - wherex is thetimeto failure of an electr...

A: Given,f(x)=13000e-x3000      ;    x&gt;0

Q: Consider a sample space of an experiment tha is the real line ,S = {n: {n: -0 <n< } and the 1 event ...

A: This question belongs to infinite union and intersection.  Here given sample space and Event Ai We h...

Q: 6. Do people find TV shows funnier when there is a laugh track (canned laughter ostensibly from a li...

A: Two sample t test : The main assumptions for a two-sample equal-variance t-test area unit that the d...

Q: 1.) Clothing Sale: At a special clothing sale at the Crescent Oaks Country Club, after the cashier r...

A: a) The Expected dollar amount to be deducted from your purchase is 5(.7) + 10(.3) = 6.5 from the abo...

Q: A student is to answer 10 out of 15 questions on a midterm test.         a. How many examination se...

A: Given that  A student is to answer 10 out of 15 questions on a midterm test. Total number of questio...

Q: A student knows correct answers to 6 questions out of 9 questions from the book. If a professor asks...

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Q: constructed discreet probability distribution and tabbular form for the possible numbers on which th...

A: The roulette wheel has 38 pockets that the ball can fall into. Pockets of Roulette Color Numbers ...

Q: Consider a cluster of three cells. The traffic offered to each individual cell is, 40 Erlangs, 50 Er...

A: Cluster of 3 cells 40 Erlangs  50 Erlangs 80 Erlangs  Total no. of channels in cluster =? Probabilit...

Q: Problem 4 In a sample of n = 16 observations from the N(0, 4) distribution, the sample mean is y = 3...

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Q: d.ore than the expected number of vaccinated residents is found in the sample?

A: