What is the probability that the birthdays of at least two students of a class of size n are at most k days apart? Assume that the birthrates are constants throughout the year and that each year has 365 days.

Q: Question one There are four medals (Gold, Silver, Bronze and Wood) on a table, but they are all…

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Q: In a deal or no deal game where there are 26 cases and 6 cases were opened. What is the probability…

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Q: Suppose that X and Y have the following joint probability density function. f(x, y) = 154, 4y₁ 0 0₁…

A: b) The joint pdf of X and Y is f(x,y)=3154y, 0<x<5, y>0, x-2<y<x+2. We have to find…

Q: mu is less than or equal to 98.6 degrees. Your test will be at the 0.01 significance level. You take…

A: It is given that  Population mean, μ = 98.6 Sample mean, x̄ = 99.3 Sample standard deviation, s = 2…

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…

Q: ou own 20 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that the…

A: you own 20 cds.  arrange 6 of then in a rack.  P(rack end up in alphabetical order) = ?

Q: A certain forum reported that in a survey of 2004 American adults, 21% said they believed in…

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

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Q: Consider a for t > 0. non-homogeneous Poisson process N = (N)20 with intensity function X(t) =…

A: Given a non-homogeneous Poisson process N=Ntt≥0 with intensity function λt=2+t+t2 for t≥0.

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

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Q: Local parents and their children were invited to the grand opening of a daycare center. Each of the…

A: pencil cup magnet total parent 19 40 12 71 child 15 47 2 64   34 87 14 135

Q: fer to the Venn diagram below. How many elements are in the set AUB? U A C n(AUB) = 22 12 36 50 3 B…

A: Solution

Q: Your friend Jeanie Alangee has researched her family tree and finds that a large number of her…

A: From the provided information, The table is as follow:   Blue Eyes Green Eyes Total Blond 63 25…

Q: The management of the Cambridge Company has projected the sales of its products (in millions of…

A: Given information: X=Sales 20 23 26 29 32 35 p=Probability     0.05     0.11     0.38     0.26…

Q: Total a) How many employees were studied? b) What is the mid-point of the first class "0 up to 3"?…

A: It is given that the frequency distribution reports the number of frequent flier miles, report in…

Q: . In a town, 200 persons get the flu and of this group 20 have pain and 60 have fever. Determine the…

A: Hello! As you have posted 3 different questions, we are answering the first question with 2…

Q: You select a family with four children.  If M represents a male child and F a female​ child, the set…

A: Here we have givent he sample space, ​ S= {FFFF, FFFM,​ FFMF, FMFF,​ MFFF, MFFM,​ MFMF, MMFF,​ FFMM,…

Q: The pep band designs a cheer that includes the follwing repeating pattern: stomp, stomp, clap, clap,…

A: Introduction: It is required to identify the 712th action.

Q: A sample of 10 tourist spending in Macau in February 2017. (in MOP) 2,698 2,028 2,474 2,395 2,372…

A: Followings are the Explanation of the question Use the Excel and calculate the Sample Mean and…

Q: A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. The crystals are…

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Q: Test whether p₁ <p₂ at the a=0.02 level of significance for the sample data shown in the…

A: Please like.....?

Q: ere any way the work can be shown out?

A: The first line producing 0.10 The second line producing 0.27 The third line producing 0.63…

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: An investment firm offers its customers municipal bonds that mature after varying numbers of years.…

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Q: When playing a lottery game, a player can either win money, get a free play, or they can lose. For a…

A: Given that odds in favor of winning money is  1:4. The probability of winning money is  1/(1+4) =1/5

Q: 8. If the random variables X and Y have the joint density for 1 ≤ x + y ≤ 2, x ≥ 0, y ≥ 0 otherwise,…

A: Given that the random variables X and Y have the joint density fx,y=67x  for 1≤x+y≤2, x≥0, y≥00 ,…

Q: Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 2…

A: A palette of 15 colors to work with, and wants to design a flag with 2 vertical stripes, all of…

Q: Suppose that X and Y have the following joint probability density function. f(x, y) = y₁ 0 0, x-2…

A: Please find the explanation below.

Q: Let X and Y be uniformly distributed over the region given by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and y ≤ x. (a)…

A: Given the random variables X and Y, which uniformly distributed over the region 0≤x≤1, 0≤y≤1 and…

Q: Consider the following Markov Chain. Assuming that the process is in State 3, what is the…

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Q: dtermine thevalue of c that makes the function f(x,y)=c(x+y) a joint probability density function…

A: Given that  f(x,y)=c(x+y)  , 0&lt;x&lt;3 and 0&lt;y&lt;3

Q: Evaluate the following, giving your answers correct to at least four deci i. P(X=3) ii. P(X=3|X22)…

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Q: Suppose P(AIB) = X and P(A n B) = 8 What is P(B)?

A: P(A|B) = 14P(A∩B) = 18P(B) = ?

Q: The Clothing Marketing Company has received 16 entries in its latest sweepstakes. They know that the…

A: The following information has been provided: Let X be a random variable shows the magazine…

Q: You roll two fair six-sided dice. What is the probability that the sum is 6 or less?

A: According to the given information, we have Two fair six sided dice are rolled.

Q: a) What is the sample mean & sample standard deviation? b) What is the point estimate of the…

A: The data is given by 2698, 2028, 2474, 2395, 2372, 2475, 1927, 3006, 2334, 2379

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 continuous random variable X on [-1,1] has pdf given by fx(x) = k(3x + 5) for x = [1,1] where k…

A: Given that  Pdf of X is  f(x) = k(3x+5)  , -1&lt;x&lt;1

Q: udy of the accuracy of fast food drive-through orders, one restaurant had 39 orders that were not…

A: Given that  Sample size n =343 Favorable cases x =39 Sample proportion p^=x/n  =39/343 =0.1133…

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

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Q: Suppose V~ Geom (p) with p = 0.72 and that W = 2V. Find P(W ≥ 8), giving your answer correct to two…

A: It is given that  V ~ Geom(p) p = 0.72

Q: Suppose that (Xn) is a sequence of random variables on Rd and (d) suppose Xn →Xo. Suppose further…

A: From the given information, Xn0∞ is a sequence of random variables. Suppose Xn→n→∞dX0 Here, X0 is a…

Q: What is P(X=0,Y=2)?

A: From the given information, P(X=0, Y=0)=P(X=1. Y=2)=0.

Q: You are conducting a hypothesis test on the body weights of male fraternity members. The null…

A: given data n = 64x¯ =210σ = 20α = 0.01claim : μ ≤ 7.00

Q: 1. ] Suppose the c.d.f. of a random variable X is defined as if x < 0 F(x) = Find each of the…

A: Note; According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Q: (a) Find E(X), the expected value of X and interpret this resu (b) Find Fx (x), the cumulative…

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Q: Suppose that X, Y are iid continuous uniform distributions over the interval (0, 1). Find the pdf of…

A: Given that the iid random variables X and Y follow continuous uniform distributions over the…

Q: A bag contains 2 gold marbles, 7 silver marbles, and 26 black marbles. Someone offers to play this…

A: Here we have given the information, A bag contains 2 gold marbles, 7 silver marbles, and 26 black…

Q: A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. The crystals are…

A: Given: The crystals are shipped in lots of 1000.  The acceptance sampling procedure uses 20 randomly…