Show that a sheet of paper of area A cm² can be placed on the square lattice with period 1 cm in such a way that at least [A] points are covered.

Q: Example: Hamburger patties are packed 8 to a box, and each box is supposed to have 1 Kg of meat in…

A:

Q: Solve the problem. Round to the nearest tenth unless indicated otherwise. A bank's loan officer…

A:

Q: A fair, six-sided die is rolled. Describe the sample space S, identify each of the following events…

A:

Q: 5.20. Use the definition (5.15) of the probability of an event to prove the following basic facts…

A: Hi! Thank you for the question, As per the guidelines, we are allowed to answer three sub-parts at a…

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8554 g…

A: given data, normal distribution,μ=0.8554σ=0.052n=447p(x>0.8539)=?

Q: A manufacturer produces a commodity where the length of the commodity has approximately normal…

A: Given First Question) Given Xbar=5.2 Standard deviation=0.7

Q: Suppose a, ne Z and 0 < a <n. Prove that n (2) = (^=¹1)+(21) a a-1 n- in two different ways: firstly…

A:

Q: Let A1, A2, A3, and A4 = the weight of dumbells at lifetime. Suppose they are independent normal…

A: GIVEN DATA  μ1 = 8.2μ2 = 6.6μ3 = 3.5μ4 = 8.1 σ12 = σ22 =σ32 =σ42 = 1 P(1A1 +  2A2  +  1A3. + 3A4 ≤…

Q: . The average statistics midterm score is 73 point (out of a possible 100 points) with sample…

A: Given,The average statistics midterm score μ=73standard deviation, σ=7.3sample size (n) = 36

Q: V is a normal Gaussian random variable. P = (V-1)² d. Find the PDF of P. e. Find the expected value…

A:

Q: Suppose that X and Y are random variables with joint density function fx,y (x, y) = 8xy for 0<y<x< 1…

A: Farmula used P(A|B)=P(A and B)/P(B)

Q: Customers arrive at a local store at a rate of 10 per hour. a. What is the probability that, in any…

A: Given that: Customers arrive at a local store at a rate of 10 per hour.

Q: Coupons. Every package of some intrinsically dull commodity includes a small and exciting plastic…

A:

Q: Out of first 20 natural numbers, one number is selected at random. The probability that it is either…

A: Given that, Out of first 20 natural numbers, one number is selected at random

Q: 6. Buses arrive at ten minute intervals starting at noon. A man arrives at the bus stop a random…

A: In question, Given that the random variable X having the distribution function P(X&lt;=x). Then…

Q: 10 cards numbered 1-10 are Shuffled. The top and bottom Card are chosen. S: Sum of the two cards.…

A: We assume Var(X) is a typo of Var(S) as there is no X in the problem.   Let X be a random variable.…

Q: Show all your work and explain each step. A laboratory blood test is 0.95 effective in detecting…

A: Here, P(virus) =0.5 P(positive| virus ) =0.95 P(positive| no virus ) =0.01

Q: Eight pawns are placed randomly on a chessboard, no more than one to a square. What is the…

A:

Q: An IT manufacturing company uses different production lines to produce IT equipment. The production…

A: Note: HI, there! As per the guidelines, we are allowed to solve first three subparts when multiple…

Q: 6. Buses arrive at ten minute intervals starting at noon. A man arrives at the bus stop a random…

A: Given that, Buses arrive at ten minute intervals starting at noon. A man arrives at the bus stop a…

Q: n a survey of 2541 adults aged 18 years and older, 55% of respondents claimed that it was easier to…

A: Obtain the probability that at most 3 out of 6 adults chosen at random hold the opinion that it is…

Q: Here we have a random walk (with p=1/2) on the integers in the range [0,7] (endpoints 0 and 7 are…

A: From the given information, Let Sn=x0+X1+X2+....+Xn be the simple random walk at time n and starts…

Q: Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs.…

A: Given that  Mean = 245.7 , Standard deviation = 34.5 Sample size = 32

Q: SUPPOSE  X  HAS A NORMAL DISTRIBUTION WITH  µ= 20  AND  σ=4. FIND P( 15 ≤ X ≤ 21

A: Given,mean(μ)=20standard deviation(σ)=4

Q: Suppose that X and Y have joint density function ƒx,x (x, y) = (x + 4y) for 0 < x < 2, 0 ≤ y ≤ 1…

A:

Q: ind the expected value E(X) of a random variable X having the following probability distribution.…

A: Given data is x 0 1 2 3 4 5 P(X=x) 18 14 316 14 116 18

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

A: Given {FFFF, FFFM,​ FFMF, FMFF,​ MFFF, MFFM,​ MFMF, MMFF,​ FFMM, FMFM,​ FMMF, FMMM,​ MFMM, MMFM,​…

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Given Mean=35 Standard deviations=9

Q: Express the confidence interval 59.3 % 8.3% in interval form. Express the answer in decimal format…

A: The given confidence interval is 59.3%±8.3%.

Q: z-test or t-test. show the result of the table in excel. upvote will be given. (YOU MAY USE EXCEL…

A: Given data: 4-year program 5-year program 7 8 6 7 8 7 6 6 7 7 8 7 7 5 6 7 7 8…

Q: Limeon has become the fastest growing energy drink in the U.S. The average retail price is…

A: Given Mean=100 Standard deviation=10

Q: A bag contains 5 red balls and 3 green balls. A ball is drawn and not replaced. A second ball is…

A:

Q: Show that the mean μ, median m, and variance o2 of the continuous random variable X satisfy (μ-m)²…

A:

Q: Suppose that X and Y have the joint probability mass function x+y 21 P (X = x, Y = y) = " X = 1, 2,…

A: Given information: The joint probability mass function is, PX=x,Y=y=x+y21, x=1,2,3 and y=1,2 Let…

Q: 2. Let X and Y be independent random variables with common distribution function F and density…

A:

Q: A pizza can be at most 1 lb and the probability of "a" is given by the following: f(a) = c + da3…

A: Given that  fa=c+da3, 0≤a≤1 E(a)=5/6.

Q: Calculate the probability that a hand of 13 cards dealt from a normal shuffled pack of 52 contains…

A:

Q: A researcher must estimate the mean temperature (in degrees Fahrenheit) with the following sample…

A: Data given 35.2,36.1,30.4,23.9,46,46.5,45,28.7,23.5

Q: Example: A (pseudo) random number generator on the computer can give a sequence of independent…

A:

Q: A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a…

A: Given data: Population mean = 1300 Population standard deviation = 67 Significance level= 0.01

Q: Ace Heating and Air Conditioning Service finds that the amount of time a repairman needs to fix a…

A: GivenA random variable x~Uniform(1.5,4)f(x)=1b-a     ; a&lt;x&lt;bf(x)=14-1.5      ;…

Q: The number of bread slices consumed by a bakery on a random day is a random variable with mean = 36…

A: given data  μ = 36σ = 5n = 52P(∑x&lt;1790) = ?

Q: The mathematics faculty at a college consists of 6 full professors, 8 associate professors, 12…

A: Answer: The probability is 16/36 i.e equals to 4/9.

Q: At a police station in a large city, calls come in at an average rate of four calls per minute.…

A: Given that, At the police station in a large city, calls come in at an average rate of four calls…

Q: Use the formula  C(n, x)pxqn − x  to determine the probability of the given event. (Round your…

A: Givensample size(n)=9p=13q=1-pq=1-13q=23x~Binomial(n=9,p=13)P(X=x)=C(n,x)*px*qn-x     ; x=1,2,...,n…

Q: In each packet of Corn Flakes may be found a plastic bust of one of the last five Vice-Chancellors…

A: Let X represents the vice chancellor in any given packet. Given that, sample size is n= 6 and…

Q: Often there are cheaper, less accurate tests for diagnosing the presence of some conditions in a…

A: * ANSWER :-  From the given information the answer is given as follows

Q: A researcher must estimate the mean temperature (in degrees Fahrenheit) with the following sample…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: 14. The probability of a sure event is approximately one. TRUE O FALSE

A: We have to check whether the given statement is True. Note : Since you have asked multiple…

Q: Prove that P(A | B) = P(B | A)P(A)/P(B) whenever P(A)P(B) 0. Show that, if P(A | B) > P(A), then P(B…

A: