The mean of the numbers (x₁, x2, x3,...,xn) is . x. Show that the sum of the deviations about the mean is 0; that is, show Σ₁₁ (x₁-x) = 0.

Q: 1. In how many ways can the position of president and secretary of an organization be  filled if…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here use counting Principle  there are total 4…

Q: ACTIVITY 1. WHAT'S MY CHANCE? Direction: Write the probability that the following events could…

A: Probability of an event is the number of favorable outcomes divided by the total possible outcomes.…

Q: 55 Prove that the functio: probability density F Given f(x)= 2(1-x) and (0<x< ضافة ملف

A: Solution

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Q: Referring to the important health practices advocated by the California study, suppose  that in a…

A: Probability

Q: A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to…

A: From the provided information, Sample size (n) = 15 Sample mean (x̄) = 259 Population standard…

Q: 1. The sampling method is one of the methods of data collection (a) true (b) false 2. The mode can…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: if x~unif. (0,2),find the U.b. of p(lx - mul>= 2)

A: Given X~Unif(0,2) Result: if X~unif(a,b) then  Mean=(a+b)/2 Variance=(b-a)2/12

Q: A group of students at a high school took a standardized test. The number of students who passed or…

A: Independent events :  The event A and B are independent if  P(A|B) = P(A)

Q: 5.2 Table shows the percentage frequency table for the petrol brand most preferred by 50 motorists…

A: The provided information is  Petrol performance counts percentage BP 13 26% Caltex 9 18%…

Q: During the summer in a particular city the probability of getting a thunderstorm in the afternoon is…

A: Here from the given information, Let,    P = Getting a thunderstorm in the afternoon Then P( P ) =…

Q: (f) Chi-square tests are most appropriate for data that OA. are categorical. B. have small standard…

A: we know that the specific distribution used in the specific case. i.e. according to the data we…

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Q: In a random check on an assembly line, the probability of finding a defective item is 0.005.…

A:

Q: 4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to…

A: Given: n= 15 Probability of success , P = 0.80 q = 1-p = 0.20 Formula used: P(Y= r) = nyPrqn-r Where…

Q: Consider a hypothetical state that has 8 representatives and a population of 1.2 million. Party…

A: Solution: From the given information, a state has 8representatives and a population of 1.2 million.…

Q: The average number of classic comic books sold per week at your store is 28. What is the probability…

A: Given : mean , μ= λ = ( 28*3)/7 =  12

Q: 04: A group of 30 manufactured of concrete pipes contain 8 defective pipes and 22 non-defective…

A: Obtain the probability that the sample of size 5 that contain exactly 3 defective pipes. The…

Q: Based on previous weather records, the probability that the city of Calgary will have a "White…

A: Given: Probability that the city will have a White Christmas on Dec 25th is 25=0.4

Q: Jalen Hurts' pass completion percentage last season was 61.3%. Based on relative frequency…

A:

Q: According to data, Metro Manila experiences major earthquake once every 4 months. What is the…

A: Farmula used P(E)+P(Ec)=1

Q: In a particular week, the probability that it will rain is 75% each day. What is the probability…

A: Given data in a particular week the probability that it will rain is 75% each day.

Q: 15. Lottery Prizes A lottery offers one $1000 prize, one $500 prize, and five $100 prizes. One…

A: The answer is attached below,

Q: 7. (简答题 6.0分) Suppose that 75% of people in a certain metropolitan area live in the city and 25% of…

A:

Q: If 4 marbles are pulled from the bucket, determine the number of different 4-sets of marbles that…

A: There are 13 marbles which contains 8 red ad 5 blue marbles. (i)When 4 marbles are pulled, where 2…

Q: A scheme of random number generator is described as follows. First, one generates a normal random…

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Q: Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The…

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Q: What is the probability that difference in the two-sample means s X₂-X₁ is at least 15 hours? Assume…

A: It is given that For old process, mean = 5000, SD = 40, sample size n1 = 16 For improved process,…

Q: Q3: If the probability that student (A) will solve a particular problem is (0.8), the probability…

A: P(A) =0.8 P(B)=0.7 P(C)=0.5 We can see,  A, B, C are independent events. We have to calculate…

Q: PART IV. Solve the following problems. You have eight books and are going to put four on a…

A:

Q: Which of the following is correct about the events A and B?

A:

Q: 2. The CPU time requirement X of a typical job can be modeled by the following hyperexponential…

A:

Q: Let X be a random variable corresponding to the number of shoppers that enter a mall at a given time…

A: Givenan average 10 shoppers enters mall per minutefor 1 second,=1060=16 shoppers per secondfor 90…

Q: the "Improved What is the probability that difference in the two-sample means that the old and…

A: It is given that For old process, sample size n1 = 16, mean = 5000, and SD = 40 For improved…

Q: upvote.

A: Total number of students in the group = 10 Number of grade 11 students in the group = 3 Probability…

Q: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

A: Four sided top, Each face has one of 4 letters (A, B, C, D) Now probability will be divided…

Q: Sam deals 5 cards to Samira. a) What is the probability that she has at least 4 diamonds in her ha…

A: Total number of playing cards = 52 Spade 13 Diamonds 13 Hearts 13 clubs 13   King 4…

Q: 3. Find the mean, variance, and standard deviation of X. The proportion of people who respond to a…

A: Obtain the mean of X. The mean of X is obtained below as follows: From the information, given the…

Q: probability that there will 10 log-ons over a 48 minute period? What is the probability that at…

A: here given , in large corporate  computer network ,  there are an average of 27 log-ons per hour  λ…

Q: Three colored marbles are drawn in succession, from a jar that contains 4 black marbles and 2 green…

A:

Q: 2. An emergency committee consisting of 12 health's officer staffs is chosen from 10 doctors and 12…

A:

Q: In a Survey, 85% of the people interviewed were unaware that maintaining a healthy weight could…

A: Givenp=0.85n=20Let "x" be the no.of people are unware that maintaining a healthy weightcould reduce…

Q: Each license plate in a certain state has five characters (with repeats allowed). Here are the…

A: Given dataEach license plate in a certain state has 5 characters (with repeats allowed) character…

Q: THEOREM 4.1 (The Linearity Property of Expectation). Let X and Y be two random variables. Then the…

A: Given:Let X and Y be the two discrete random variables.Then the expectation of their sum is the sum…

Q: 4. The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

A: Given that, Average, λ = 52

Q: A businessman has two meetings in a day. The first meeting has a 65% chance to make a sell, and he…

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Q: Ann and Bill play rock-paper-scissors. Each has a strategy of choosing uniformly at random out of…

A:

Q: 2. Two businessmen examine the joint distribution for X and Y. Find the Expected value of X, Y, and…

A: Solution-: We have following table:     Y   f(x,y) 1 2 3 X 1 0.10 0.05 0.02 2 0.10 0.35…

Q: choose a number from the set {1, 2, 3, ..., 100} uniformly at random and denote this number by X.…

A: Given: 1, 2, 3, .........100 are there in a set. A number X is selected from above set. Independent…

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you…

A: