Assume the discrete population model: Nt+1=bNt, t=0,1,2,... Assume that the population increases by 2% each generation. a) Determine b b) Find the size of the puopulation at generation 10 when N0=20 c) After how many generations will the population have doubled?

Q: Find the appraximate value of f"(1) with center finite differen ce formula och) with Cheo.o1) Hence,…

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

Q: Let X1,.,X, be a random sample from Uniform(0,1). show that x converges in probability to µ.

A: # random variable Xi follow uniform distribution (0,1)  Mean(mu)=1/2  Var(xi)=1/12   i=1,2,3,.....n…

Q: An interval within which we expect 95% of all xx's to fall can be defined for any population by…

A: Given that  An interval within which we expect 95% of all xx's to fall

Q: An insurance company has a portfolio of car insurance. For a given period of time, it is assumed…

A: Note: Hi there! Thank you for posting the question. As your question has 2 different questions, we…

Q: The average value, f, of a function, f, at points of the space region N is defined as

A: Given, the average  value of f¯, of a function f at points of the region Ω is defined as…

Q: Let X, X, ... , X, be a random sample from a population that is uniformly distributed over (a, b),…

A: We have a random sample X1, X2,....., Xn~Ua,b The sample mean x¯ will follow a uniform distribution…

Q: The time spent by a particular type of rat to find its way through a labyrinth is normally…

A: As we are entitled to solve one question at a time I will answer 2nd one as some information is…

Q: (a) (E N points are scattered at random independently of one another inside a sphere of radius R.…

A: Suppose V(r) is the volume of the sphere of radius 'r' and V(R) is the volume of the sphere of…

Q: The mean ±1 sd of ln [calcium intake (mg)] among 25 females, 12 to 14 years of age, below the…

A: The pooled variance is, sp2=n1-1s12+n2-1s22n1+n2-2=25-10.642+40-10.76225+40-2=0.5136 The pooled…

Q: If the population is highly skewed, the sample size needed for the central limit theorem t apply…

A: Skewness: It is a measure of dispersion. It measures the asymmetry in the probability distribution…

Q: The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the…

A:

Q: The red blood cell counts (in 10 cells per microliter) of a healthy adult measured on 6 days are as…

A:

Q: The mean ±1 sd of ln [calcium intake (mg)] among 25 females, 12 to 14 years of age, below the…

A:

Q: For a sample of size​ n, the cumulative area for the ith smallest value corresponds to a cumulative…

A: The standard normal variable Z follows normal distribution with mean 0 and standard deviation 1.

Q: Let X1, ., X, be a random sample from Uniform(0,1). show that i converges in probability to u.

A:

Q: A die is loaded in such a way that the probability of the face with j dots turning up is…

A: Given A die is loaded in such a way that the probability of the face with j dots turning up is…

Q: Three couples are eating 30 cakes. It so happens that each pair eats the same number of cakes. In…

A: To find the number of ways, it is needed to find 3 even numbers that sum up to 30. The numbers can…

Q: DA dzferendial equeadion of 2nd order has how many arbètrany Constants en the generel Soletion q @2…

A:

Q: Let X be the amount of soda released by a soft-drink dispensing machine into a 6-ounce cup. Assume…

A: Given information: σ=0.25 a)  P-value for the average "fill" where no more than 0.5% of the releases…

Q: A statistics professor plans classes so carefully that the length of her classes are uniformly…

A: From the given information, A statistics professor plans classes so carefully that the length of her…

Q: With m = 4 and n = 15, approximate the volume under the graph of g(x, y) = (x³y + 1) y² on the…

A: Given function is  gx,y=x3y+1y2 on 0,2 × 0,3 Also given that m=4, n=15 Find the approximate volume…

Q: The amount of time, in minutes, that a person must waitfor a bus is uniformly distributed bet ween…

A:

Q: Your pump empties t together with your pu pump to empty the p

A: Given that, Your pump emptites water from swimming pool in 6 hours. That means your pump empties the…

Q: PewHite F in sphethal cordmates and compute its diergence.

A: The divergence of F is 3

Q: Find the Fisher information in this sample of size n about the parameter 8.

A: First we have to calculate the log of f(x,θ) and its second derivative to determine the Fisher…

Q: Imagine the divorce rate is about 42% (percent of individuals who divorce) and 60% of people get…

A: a. Two non-null events A and B are said to be mutually independent, if P(A and B) = P(A) P(B).

Q: Let X,X2,.X, be uniformly distributed on the interval (0, a). Find the moment estimator of a.

A: To find the moment estimator of a, we equate the sample moment to population moment.

Q: Compute the average value of p2 – x +1 over the interval [-1, 1].

A: We have to compute the average value of f(x)=x2-x+1 over the interval -1,1 We know that the average…

Q: An agent for a real estate company in a large city would like to be able to predict the monthly…

A:

Q: dz < 37 , 71,3

A:

Q: Dies which are 1.5cm on a side and 1.0cm on a side, supposing a density of 0.031/per cm^2 and N is…

A: Given: N = 13.5 Since we have the formula for computing die yield which is Die Yield = Wafer yield…

Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum…

A:

Q: The test solution of each extract was prepared by dissolving 0.1g of the plant extract separately.…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Consider a branching process with offspring distribution given by (b) 2/5, j = 0 Pj 3/5, j = 2.

A:

Q: 25. Obtain the maximum likelihood estimates for a and B in terms of the sample observations x1, x2,…

A:

Q: A study of the isopluvial maps revealed that at Najaf Al-Ashraf a maximum rainfall depth of 175 mm…

A: Solution: Expected number of maximum rainfall depth of 175 mm in 18 hr in 100 years = 1 Expected…

Q: 3. Determine the number of possible samples of size 3 Show your solutions here.

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: A metal rod of length L and a sphere of radius R are to be joined to form a small automobile part. L…

A: EL=2    VR=0.052     ER=0.5     VR=0.052     VL=0.12   Since L and R are normally…

Q: Let X1, X2, ... Xn be a random sample from Uni (0, b). Determine ÎMME

A: In MME approach, we equate sample moments to population moments to get the required estimator.

Q: What is one dimension heat flow?

A: one dimension heat flow is given as follows :

Q: . Let X1,. , X, be iid data from a uniform distribution over the disc of radius 0 in R?. Thus, X; €…

A: Given X1, X2,...., Xn are samples from uniform distribution over the disc of radius θ in R2 The…

Q: ) Suppose the diameter at breast height (in.) of trees of a certain type is normally distributed…

A: Given Mean =8.8 Standard deviation=2.8

Q: 8.S.6 Biologists noticed that some stream fishes are most often found in pools, which are deep,…

A:

Q: Assume that the weight of hamsters is Normally distributed with μ = 1.2 lbs and σ = 0.25 lbs.…

A: Note: Hey there! Thank you for posting the question. For calculating probability, we are considering…

Q: A random variable X is defined by Z = log X, where EZ = 0. Is EX greater than, less chan, or equal…

A:

Q: Assume the time required to fully recharge an electric car is uniformly distributed between 160 and…

A:

Q: Calculate Median and Modo of tne data given helow. Using thêm tird

A: here given  frequency distribution of student's marks