a random variable has the following probability density function f(x) = k, 0, (2k, for 0 < x < 1 for 1 ≤ x < 2 elsewhere ) Find k, (b) find the probability distribution function F(x), (c) Find the probability that that e random variable takes on a value between 0.5 and 1.5, (d) find the mean and the variance or this probability density.

Q: Suppose that 8% of the patients tested in a clinic are infected with Covid-19. Furthermore, suppose…

A: From the given information, the table constructed as follows:   Infected Not infected Total…

Q: Let Z be a discrete random variable with E(Z)=0. Does it necessarily follow that E(Z^3)=0 ? If yes,…

A: Given that: Z is a discrete random variable with E(Z)=0. The objective is to prove whether Z follows…

Q: QUESTION 5 An economist is studying the median yearly income of workers by their ages. 18 48 58 28…

A: To identify the mode type we create scatter plot. We represent age on x axis and Median income on Y…

Q: 4) If each digit can be used only once how many four-digit numbers can be formed from the digits…

A: We have given the following  numbers 0,3,2,5,4,6,8

Q: such a way that all men are next together and all women are next together? (a) How many ways are…

A: Given 6 men  6 women seated around a round table in such a way that all men are next together and…

Q: Example 9.6: What are the standard errors of the sample mean X and the sample proportion p?

A: The standard error is the standard deviation of the estimate.

Q: If there were 800 male students enrolled at NEU, where the mean wiegh of the male students is 110…

A: given data  n = 800 normal distribution μ= 110σ = 5P(x≤112) = ?

Q: In a branching process whose family sizes have mean μ and variance o2, find the variance of Zn, the…

A:

Q: A coin which has probability 0.88 of coming up Heads is tossed three times. Let Y be the number of…

A: It is given that probability of getting head is 0.88 and coin is tossed three times.

Q: 13. Let X₁, X2,... be i.i.d. r.v.'s with finite expectation and finite variance o², and let X = L²…

A: 13. Given that X1,X2,... be i.i.d. r.v.'s with finite expectation μ and finite variance σ2 . So,…

Q: (4x³y-2)² (2x²y-5)⁰ (6xy-³)³

A:

Q: The human requirement for salt is only 220 milligrams per day, which is surpassed in most single…

A: Given that  Sample size =20  Population mean =220 Sample mean =244 Sample standard deviation =24.5…

Q: Let (X, Y ) be independent and uniformly distributed random variables (RVs) on the interval [0, 1].…

A: Given that, X and Y are independent. X~ U(0,1) and Y~ U(0,1) f(x)= 1 ; 0&lt;x&lt;1 and f(y)= 1 ;…

Q: Consider the following data set. You may assume that the mean of this data set is x¯ = 7. 8 10 3 5 7…

A: Given: The data is given as; 8,10,3,5,7, 5,11 The mean of the data is x=7.

Q: Fifteen adults of males between age of 35 and 50 participated in a study to evaluate the effect of…

A: Let the paired observations be denoted by xi,yi where xi denotes the ith observation before the…

Q: That should I buy? A study conducted by the Pew Research Center reported that 58% of cell phone…

A:

Q: A production manager at a wall clock company wants to test their new wall clocks. The designer…

A: Given: mean(μ)=14 standard deviation(σ)=16=4 n=40

Q: On the Back! 2. Ms. Lin recorded her students' test scores. Represent the data in a frequency table…

A: 1 71 2 99 3 95 4 96 5 77 6 79 7 78 8 81 9 75 10 90 11 84 12 99 13 87 14 68…

Q: Suppose that Z is a discrete random variable with positive expectation. If Var(Z) = 3 and E(Z²) = 4,…

A:

Q: A financial services committee had 60 members, of which 8 were women. If 7 members are selected at…

A: given data  8 women 52 men  ________________ 60 total members   select group of 7 at random from the…

Q: Find area left to z= 1.52

A: P(Z&lt;1.52)=?

Q: Page 327, 5.1.9.* For X₁, ...,Xn be iid random variables with common pdf f(x) = exp{-(x-20)}, x >…

A: Given pdf  f(x)=e-(x-2θ) ; x≥2θ

Q: = m₂ i = 1,..., n. (c) Determine the conditional p.d.f. of Xį, given X (d) How does the distribution…

A: Given that the random variables X1, . . ., Xn are independent and Xi~Pλi.

Q: Questions 1 and 2 use the X and Y data below.  You can think of this data as representing the…

A: Given the data of the heights of 5 individuals at ages 11(X) and 12(Y) as Obs X Y A 60 62 B…

Q: The point spread in sports betting is essentially a handicap towards the underdog, for example the…

A: Given information: Winning margin now for Kansas City this weekend follows N(1, 144). μ=1σ=12

Q: A symmetric random walk in two dimensions is defined to be a sequence of points {(Xn, Yn): n≥ 0}…

A:

Q: 3. The medical test mentioned in question 2 has a sensitivity of d1. Random samples are taken from…

A: 3. b) Let X denotes the number of test results that are positive for the people who have been…

Q: ble, then enter the rule that is applied to each ro Input 300 400 500 600 Output 2700 3600 4500 5400…

A: given data  input output 300 2700 400 3600 500 4500 600 5400 200 1800

Q: Let Z be a discrete random variable with E(Z) =0. Does it necessarily follow that EC 7³ ) = 0 ? If…

A: Given that Z is a discrete random variable with E(Z)=0. It does not necessarily follow that E(Z3)=0.…

Q: Monthly cell phone bills for residents of a city have mean €63 and standard deviation €11. Simple…

A: It is given that  Mean = 63,  And SD = 11 Let M denote the sample mean. Note : According to our…

Q: kg and a standard deviation of 2.4 kg. What is the 95% confidence interval? Write the lower value of…

A: It is given that  Sample mean, X̄ = 30 Sample standard deviation, s = 2.4 Sample size, n = 50

Q: A 100(1 x)% confidence interval for the mean of a normal population when the value of a is known is…

A:

Q: : X = n-¹ Σr=1 Let (X, 1 ≤r ≤ n} be independent and identically distributed with finite variance,…

A:

Q: Newyork University Building 8 has a 15-story structure. Mr. Raju works on the 11th floor of this…

A: Probability of any event is defined as the chance or likelihood that a particular event will occur.…

Q: At a whiteware production facility, fridges which have been damaged are scrapped (costing $250) as…

A: Given Information: Fridges which have been damaged are scrapped (costing $250) as it is too…

Q: A radio station runs a promotion at an auto show with a money box with 13 $100 tickets, and 13 $25…

A: It is given that  $100 tickets = 13 $25 tickets = 13 No value tickets = 20 Total tickets = 56…

Q: Determine E(x) and E(y)

A: The given probabilities are…

Q: Let X be a Markov chain containing an absorbing states with which all other states i communicate, in…

A:

Q: Let {Xr: r≥ 1} be independent and identically distributed with distribution function F satisfying…

A:

Q: I am selling my house, and have decided to accept the first offer exceeding £K. Assuming that offers…

A:

Q: The state of Colorado has studied a large population of pregnant women applying for maternity leave.…

A: GIVEN DATA μ = 2.33σ = 0.44n = 6find sampling distribution

Q: The service time for a passport application in a certain government office is modelled as an…

A:

Q: 39,40,41

A: Given Information: Mean μ=256 Standard deviation σ=12.5

Q: binomial probability experiment is conducted with the given parameters. Compute the probability of x…

A: Given that X follows Binomial(n = 12, p = 0.7), then the probability function of X is  P(X = x) =…

Q: - EXS: Un fair tossing A coin which has probability p of coming up Heads is tossed three times- Levt…

A:

Q: 4. Seven (7) students line up for a photo. What is that probability that: (a) Harish will be in the…

A: 7 students line up for photo   P(event) = no. of favorable outcomestotal outcomes

Q: Q20. A popular app, Zolo, has come on the market for streaming pet-friendly music while others in…

A:

Q: A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How…

A: Given that 5 types hard candies  Cherry, Strawberry, Orange, Lemon, Pineapple We have to find number…

Q: Let X be a RV that exponentially distributed with parameter A. In terms CDF of X, write an…

A: c. Let X be a RV that exponentially distributed with parameter λ. The density function for X is,…

Q: You are given a bag of jelly beans. There are row with replacement. (You replace the jelly b o Write…

A: given data, 7- red8-blue 4- yellow10- pink 29- total bean