Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a specific school (School 1) receives at least 2 teachers? each school receives exactly 4 teachers?

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A: Probability is the occurrence of an event chance. It also used to explain the likelihood of an event…

Q: Provide a reasonable description of the sample space for each of the random experiments. There can…

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Q: 1. Suppose that X is a continuous random variable whose probability density function is given by…

A:

Q: What are the measures of variation and what is the Imperial rule

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Q: a) Show that for any three events A, B, and C, the probability that at least one of them occurs is…

A: a)

Q: If the marble we select is yellow, what is the probability that we chose the first bin?

A: here given , We have two bins. The first bin has 6 blue marbles and 4 yellow marbles. The second bin…

Q: 3 4 5 6 7 8 0.3100 0.1200 0.1700 0.1200 0.1300 0.1000

A: The Probability that on a given day discipline officers discover violations Number of violations…

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A: From the provided information, The statement of the hypothesis is as follow: µ ≥ 203

Q: When playing basketball, Dwight makes 80% of his free throws. In a recent game Dwight attempted 30…

A: Given data when playing basket ball Dwight makes 80% of his free throws in a recent game Dwight…

Q: In a hospital you are doing a study of queues in the medicine withdrawal area. By analyzing the…

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Q: onie is a personnel manager in a large corporation. Each month she must review 16 of the employees.…

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Q: The number of calls received by a mountain search and rescue team in a da has a mean of 0.70. Find…

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Q: Two groups of identical items, of n₁ and n₂ items each, are mixed together. The number of defective…

A:

Q: Five men are sitting around a round table. What is the probability of two particular men sitting…

A: here given ,  there are total 5 men seated around the table  Here use Total arrangement Concept

Q: The reaction time in seconds of a person can be modeled by a lognormal distributed with mean of-0.35…

A: Given that.   X~N( μ , ?^2 )   μ= -0.35     , ?=0.2   Z-score =( x - μ )/?

Q: Problem 6. A pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that…

A: As a pair of dice is rolled total outcome possible  (1, 1), (1, 2), (1, 3), (1, 4) ,(1, 5), (1, 6)…

Q: Find the unknown number in the proportion 14 35 18 X

A:

Q: When Susan and Jessica play a card game, Susan wins 60% of the time. If they play 9 games, what is…

A: Given: n=9p=0.6 w=pj=1-w=ppJassica wins exactly k games=Cn,k w^k 1-w^n-k Formula: SUMk=o to n Cn,k…

Q: Which of the following is false? A. The mean is probably smaller than the median. B. The…

A: From the provided histogram  The histogram distribution is right-skewed, Because the tail of the…

Q: probability of getting 3 or more who were involved in a car accident last year?

A: here given ,  A car insurance company has determined that 9% of all drivers were involved in a car…

Q: About 52% of the residents of Capricorn municipality are happy and 48% of the residents are not…

A: Given data Event A:resident is happy with delivery service B:resident is not happy with delivery…

Q: Q5:A: The following data represent the quantities sold x,and prices y; for a commodity, find a…

A:

Q: On a multiple-choice test over English vocabulary, LaTosha got 35 out of 36 correct. What percent of…

A: The number of questions correct is 35.

Q: The owner of a small convenience store is trying to decide whether to discontinue selling magazines.…

A: From the provided information, 5% of the customers buy magazines and thinks that he might be able to…

Q: 5 ppl sample Mean 22.2 A deviation 5.8 Confidence 90%

A: Given data, n=5 Mean x=22.2 sd s=5/8 Construct a 90% CI?

Q: 200 280 200 300 200 200 300 150; Mode 100 and 200 83.26; Range = 460 is outliner and a significantly…

A: Given: Sample size n = 31 Formula used: Confidence interval = X ± t×sn

Q: (c) Let U, V be two random variables with joint density: fu,v (u, v) = Be -3u²+2uv-3v² Find B. (You…

A:

Q: Consider a plane with a maximum capacity of 50 passengers. Suppose it is known that on a particular…

A:

Q: d Jerry are playing a game called ‘Race to 25’. In this game, the first player will say a whole…

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Q: A bag contains n cards, each having one of the numbers (1, 2, 3,..., n) written on it. If all…

A: Given that Numbers {1,2,3,4,5,....n}    If all numbers are used, the probability of drawing a card…

Q: What does a 95% confidence interval actually mean? O There is a 95% percent chance the population…

A: Solution-: What does a 95% C.I. actually mean? (a) There is a 95% chance the population mean is…

Q: The probability of the sample space S is always less than 1. Select one: O True O False

A: The answer is : False. Explanation: A sample space is a collection of all possible outcomes of a…

Q: Find the mean, μ, for a binomial distribution X~B(200,2). A cricket match is to be played over 4…

A: It is given that  X ~ B( 200, 3/4 ) where, n = 200 p = 3/4   Note: According to Bartleby expert…

Q: A tree diagram can only have first-generation branches and second-generation branches.

A: here use basic of Tree diagram  tree  diagram have component like node , branch , probability of…

Q: the hypothesis test for an OLS parameter vn, and yet you know that the asymptotic Les are Normally…

A: The ordinary Least Square Method is the model for regression yn = β0+β1xn,1+...+βpxn,p+εn Standard…

Q: In 1936, the cost of a Hershey's chocolate bar was 5 cents. In 1980, the cost of a Hershey's…

A: Given  A price change in the form of table.we need to determine the change in price  compared to the…

Q: Question 2a. [ $1 A box contains 17 lightbulbs, of which 6 are rated 13-watt, 5 are rated 18-watt,…

A: Given n=17 6 are rated 13 watt 5 are rated 18 watt 6 are rated 23 watt

Q: Gannon University would like to test the claim that the proportion of women enrolled in the…

A: From the provided information, Sample size (n) = 75 From which 50 are women. Level of significance…

Q: In a fruit juice company, machine A (crusher) produces 45%, Machine B (juice extractor) produces…

A: We have to given that,  Machine A, B, and C are did work 45% , 30% and 25% of total work…

Q: Probability that drawn ball is Red is :

A: According to our guidelines, we can answer only the first question. So, please repost the rest…

Q: The distribution of the scores on a certain exam is N(50​,5​),which means that the exam scores are…

A: Mean(µ) = 50Standard deviations (σ) = 5X ~ N (µ, σ )= N(50, 5)

Q: The data set of ages (in years) of 25 employees of a company is given below. 37, 38, 38, 38, 40, 41,…

A: Given that, class width = 5 Minimum value = 37 Maximum value = 63 The frequency distribution table…

Q: i) What is the moment generating function of the sample mean? ii) What will be the mean of the…

A: It is given that Sample size n = 10 And Xi , i = 1, 2,.......10 follows N(0,1)

Q: Question 1: Set theory J Suppose that in a random experiment you observe the number of computers…

A: Sets is the collection of well defined objects. Set is denoted in capital letters. The observations…

Q: What is the minimal number of people needed in a class to ensure that there are two students with…

A: Given information: To ensure that there are two students with the same birthday (the same month and…

Q: In an election with three candidates, A, B, and C, the voters have the following preferences: 12%…

A: Votes received by candidate A = (12+19+17+25)% = 73% Votes received by candidate B = (17+19)% = 36%…

Q: Let X be a continuous random variable whose probability density function is: x ≥ 1 0, x < 1 Then…

A: Answers: 0.75   1

Q: Q1: If the event A is independent with itself, then P(A) is

A: According to the definition of independence the two events A and B are independent if PA∩B=P(A).P(B)

Q: Using empirical probability, suppose you tossed a fair coin 450 times and noted that landed on heads…

A: We know that Empirical probability  = ( No. of times an event occurs )/( Total number of times an…

Q: Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: Given data is f(x,y) y 1 2 3 Total x 1 0.10 0.05 0.02 0.17 2 0.10 0.35 0.05 0.50 3 0.03…