Problem 1. We wish to form a 5 digit number using the digits 1, 2, ..., 9. The constraint is that none of the digits should appear more than twice. How many numbers can be formed respecting this constraint?

Q: Next question Assume that adults have IQ scores that are normally distributed with a mean of µ = 105…

A: Given that.   X~N( μ , ?^2 )   μ=105     , ?=20   Z-score =( x - μ )/?

Q: 99 coincidence interval Group of 19 Radom selected students Mean Age 22.4 Standard dievatuon 3.8

A: Given, Mean = 22.4 Standard deviation = 3.8 n = 19

Q: Q6:The following distribution received each day during the past (50) days at the office of a…

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Q: For the statement below, write the claim as a mathematical statement. State the null and alternative…

A: Given that  Population mean μ =5

Q: The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean…

A: It is given that  Mean = 20 minutes  Standard deviation = 5 minutes    Note: The p-value is taken…

Q: You have a set Y= { a, b, c, d, e}. How many ways can you arrange 2 elements of the set with…

A: Here, Y= { a, b, c, d, e}. Also arrange 2 elements of the set with repetition The repetition is…

Q: B: A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) '2' of…

A: GivenTotal no.of cards = 52

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

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Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

Q: Use the given statement to represent a claim. Write its complement and state which is Ho and which…

A: From the provided information, The statement of the hypothesis is as follow: p < 0.44

Q: The position of a random point A(X, Y) is equally probable at any point of an ellipse with the…

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

A: Solution Marginal pmf of X f(x) =P(X=x)=xΣf(x,y) From joint pmf table P(X=1)=f(1, 1) +f(1, 2)+f(1,…

Q: A pair of balanced dice is rolled once and the numbers on the top of the dice are observed. a.…

A: Given: A pair of balanced dice is rolled and the numbers on the dice are noted.

Q: Question 3 A particular concentration of a chemical found in polluted water has been found to be…

A: Givenp=0.20n=20Let "x" be the number of fishes survivex~Binomial(n=20,p=0.20)P(X=x)=Cxn×px×(1-p)n-x…

Q: Find the z-score that has 63.3% of the distribution's area to its right. The Z-score is (Round to…

A: It is given that the area of the distribution to its right is 63.3% or 0.633.

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

A: Given data: Average rate = 36 people per hour To find: The probability that more than 6 people…

Q: Find P(t<1.067) when v =21 OA. 0.10 OB. 0.05 OC. 0.15 D. 0.015

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Q: The state test scores for 12 randomly selected high school seniors are shown on the right. Complete…

A: Given data is1420,700,724,622,1227,727,748,1445,980,833,540,943sample size(n)=12

Q: Compute the following probabilities: (a) Pr(X= $3 Y = t₁) (b) Pr(X= $2) (c) Pr(Y= t1)

A: HERE AS PER GUIDELINES I HAVE CALCULATED  3 SUBPARTS  here given  join distribution of variable t…

Q: In the game of "Between," two cards are dealt from a standard deck and not replaced. You then pick a…

A: Event is the happening of an favorable situation. Event includes all the possible observation of the…

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

A: Race of 25 can be taken as a race of 25 horses. The fastest among three is to be find out in it game…

Q: A particle starts from the origin and moves in a certain direction for a distance 1₁. Then it…

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Q: Test the claim about the population mean, μ, at the given level of significance using the given…

A: Given,Claim: μ=50α=0.03σ=3.64x¯=49.7 n=70

Q: Make a probability distribution for the given set of events. The sums that appear when two fair…

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Q: The failure of a car's engine follows a Weibull distribution. Such failure rate is described by a…

A: Solution  Given That, The failure of a car's engine follows a Weibull distribution. Such failure…

Q: (a) Find the value of A such that the following function is a joint density of two random variables:…

A: Note: In case of multiple questions, according to the guidelines the answer will be provided for the…

Q: Suppose that X is a random variable with the probability density function given by (2(1-x), 0≤x≤1…

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Q: Answer the following question using arrangements with repetition, permutations, or combinations. Be…

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Q: Alex and Boris are taking college preparatory exams. Alex writes ACT test, and scores 20 out of 35.…

A: The answer is attached below,

Q: If one student is chosen from the school, what is the probability that the chosen student is a…

A: Given data is Classes Number Freshman 522 sophomore 528 Junior 466 Senior 484

Q: Use the given statement to represent a claim. Write its complement and state which is Ho and which…

A: From the provided information, The statement of the hypothesis is as follow: µ ≤ 500

Q: ility mass function of X and Y, p(x, y) is g p(2,1)= p(3,1)= } 9 p(2,2)=0 p(3,2)=+ p(1,1)= p(1,2)=

A: The joint probability mass function of X and Y has given.

Q: In a random sample of five people, the mean driving distance to work was 20.5 miles and the standard…

A: Given95% Confidence interval is (12.1 , 28.9)with Mean(x)=20.5standard deviation(s)=6.8Research…

Q: A car is driving at 30 kilometers per hour. How far, in meters, does it travel in 3 seconds? meters…

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Q: The number of customers arriving per hour at a certain automobile service facility is assumed to…

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Q: Let X and X, independence r.v. have same moment generating function (-) where tsa, let Y=aX+bX, ,…

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Q: The population of Maricopa County has been increasing for the past few decades. In 2016, the…

A: Given that  The population of Maricopa country has been increasing for past few decades. The…

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: What is the probability that a set of n ≥ 2 has two permutations that are the reverse of one…

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Q: Assume a member selected at random from the population represented by the graph. Find the…

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Q: Part D E  The owner of the small convenience store in the previous question sells two different…

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Q: A manufacturing company uses an acceptance scheme on items from a production line before they are…

A: Here we will use the Hypergeometric distribution to calculate the required answer

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 63% of all…

A: Solution-: Given: n=5,p=0.63 (Or 63%) Our aim to find, (a) P(X=2)=? (b) P(X≤3)=?

Q: A construction company has 100 workers divided into 3 groups working in 2 projects as tabulated…

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A: For a Euler Circuit, all vertices must have even degrees. For a Euler path, either 0 or 2 odd degree…

Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

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Q: Recently, Washington state instituted "historic" tuition cutbacks that set it apart from most of the…

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

A: From the provided information, Total number of times a fair coin is tossed = 450 It is noted that it…

Q: A bag of 40 marbles contains 17 marbles with red on them, 13 with blue on them 15 with green on…

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Q: Let X be a continuous random variable with a density function { [/x-9/5, 0, (a) Find P(X> 10). (b)…

A: Given that  X is a continues random variable by using the cdf and expectation rule we solve this…