Find and simplify. f(x) = 4 - x² (a) f(x + h) − f(x)

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Q: Prove that k() = n(1) (n = 1) for integers n and k with 1 ≤ k ≤ n, using a: a) combinatorial proof;

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Q: The map below shows the percentage change in housing prices from June 2014 to June 2015 in each of…

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A: Answer:

Q: A random sample of 105 students of University A showed that 12 were in favour of a new grading…

A: Given: Sample size (n1)=105Sample size (n2)=108x1=12x2=18α=0.01

Q: A company makes electronic components for TV's. 0% pass final inspection. 110 components are…

A: Givenp=0%=0n=110Let "x" be the no.of fails inspection in one…

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A: a. Given that the percentage of customers' bonds is, the intermediate bond is 18%, the long bond…

Q: An urn contains red balls and blue balls. Let p represent the proportion of red ball We would like…

A: Type II error is the probability of not rejecting the null hypothesis when it is actually false.

Q: Question la. [3 Suppose that in a random experiment you observe the number of printers used at a…

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Q: Problem 4. A machine receives signals, and the number of signals it receives has a Poisson (.…

A: Given: The number of signals the machine receives has a Poisson distribution. The signal is either…

Q: Holly, Parker, Jace, Ola, Amir and Sam have gone out to a football game together. They have a row of…

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Q: The sample space of a random experiment is the set of positive real numbers, S-{x1x >0} Define…

A: Probability

Q: witness to a hit-and-run accident told the police that the license number contained the letters RQLH…

A: Answer:72 Explanation: First digit=2 No.of digits=10 ie, (0,1,2,3,4,5,6,7,8,9) Now possibilities…

Q: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted…

A: Given A fair is rolled twiceEvent A : the sum is greater than 8Event B : the sum is not divisible by…

Q: Consider the given discrete probability distribution. Find the probability that x=5. 2 5 6 9 P(x)…

A: We know that the The Sum of the total probability should be 1. Thus, =P(X=2) + P(X=5) + P(X=6) +…

Q: i. Sketch a scatter diagram of the data and interpret the correlation coefficient.

A: Scatter Diagram (i) insert →scatter plot

Q: X x1 x2 p(x) 0.6 0.4 In class, we showcase how to use the rejection sampling method with g(x) below…

A: Random sampling Random sampling may be a part of the sampling technique within which each sample has…

Q: Suppose five cards are randomly selected from a standard deck of 52 cards. What is the probability…

A: Given that: Five cards are randomly selected from a standard deck of 52 cards. Required: To find the…

Q: (b) From a durian plantation, the height increment (in inch) in one year was recorded and the data…

A: Hi there! Since there are multiple subparts we will solve first three subparts for you. To get…

Q: When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5…

A: Given info: Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose…

Q: Solve the problem. There are 8 members on a board of directors. If they must form a subcommittee of…

A: Given There are 8 members on board of directors  Subcommittee of 3 members

Q: each

A: i)

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

A: The graph for the probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25…

Q: Let X be a random variable with a uniform distribution on the interval (0,1). Given Y = e, derive a)…

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Q: Ten coins are thrown simultaneously. Find the probability of getting at least seven heads.

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Q: .Given that (x, y) = (x+2y)/k if x = -2,1 and y = 3,4, is a joint probability distribution function…

A: Here we use two random variables concept.  And their marginal distribution function concept.…

Q: Jay has $500 in the bank when he decides to try a savings experiment. On each day i ∈ [1..30], Jay…

A: Given  Total amount =$500 Total days=30 When it is head=$i dollars deposited When it is tail=$10…

Q: Compute the probability that the sum of the numbers on two (2) dice is even when they are rolled.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 20 :) Find the circumference of the circle pictured above. Round your answer to the nearest tenth

A: Given:The diameter of circle is given.d=20Here we find that circumference of the circle.

Q: In the following situation, what sort of probability distribution would most likely be utilized to…

A: It is needed to obtain the required probability distribution.

Q: 2. Let the joint p.m.f p(x, y) of (X,Y) be given by the following: Y (a) Compute (iv) X Cov(X,Y) -1…

A: Farmula used Cov(X,Y)=E(XY)-E(X)E(Y)

Q: Claudia and ally are the two favorites to win an upcoming golf tournament. If Claudia is given 1:9…

A: Given data Claudia has 1:9 odds of winning ally has 2:17 odds of winning

Q: One day at the dog park, John counted 135 dogs, of which 47 were off leash playing. Of the 47, 10…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: On average, 3 traffic accidents per month occur at a certain intersection. Complete parts (a)…

A: Givenon average 3 traffic accidents per monthλ=3 accidents per monthLet "x" be no. of accidents will…

Q: In a game played with dice, Ali or Bob is selected with a probability of 5 and , respectively. The…

A: Given that in a game played with throwing a four sided dice twice, Ali or Bob is selected with a…

Q: At a certain gas station, 65% of the customers use regular gas, and all the other customers use…

A: Consider A1 as an event that denotes the customers use Regular gas and A2 denotes that the customers…

Q: a. Calculate the probability that X1 is less than 0.5 and that X2 is between 0.4 and 0.7. b. Show…

A: f(x1,x2)=2(1-x1)   0≤x1,x2≤1   P(0<x1<0.5,0.4<x2<0.7) =∫x1=00.5∫x2=0.40.72(1-x1) dx1…

Q: A box contains 17 lightbulbs, of which 6 are rated 13-watt, 5 are rated 18-watt, and 6 are rated…

A: Given: There are 17 lightbulbs in total. 6 bulbs are rated 13-watt 5 bulbs are rated 18-watt 6 bulbs…

Q: 1. Let X₁ and X2 be two independent random variables with respective means 3 and 7 and variances 9…

A: Given that, Let The mean of Y is,

Q: 1. A gaming company claimed that their role-playing games take over 65 hours to complete. A sample…

A: Null hypothesis H0:mu=65 Alternate hypothesis H1:mu>65 Calculating test statistics…

Q: Erica is working on a project using software to find probabilities. She quickly realizes that her…

A: Introduction: Denote X as the number of women chosen to fill the available positions.

Q: A standardized test consists of multiple choice questions. Each question has five choices. Suppose…

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Q: Find the indicated probability. Give your answer as a simplified fraction. The managers of a…

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Q: Problem 1. A coin with probability p of heads is tossed n times. Let E be the event "a head is…

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Q: 27. Given that the firm uses over 900 gallons in a particular month, find the probability that over…

A: Given:900 gallons in a particular month.

Q: Which of the following statements best describes linear regression? A measure of the degree of…

A: We know that,  Linear regression analysis is used to predict the value of a dependent variable based…

Q: The shape below contains a rectangle and four semi-circles. Q 7 8 Round your responses to two…

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Q: Let X₁, X₂ and X, be a random sample of size n=3 from a distribution with p.m.f. Construct a) b)…

A: Given that X1, X2 and X3 be a random sample of size n=3 from a distribution with p.m.f. PX=x=14  ;…