return 1 else: 2 return n * factorial(n-1) def factorial(n): if n==1: return 1 else: return n* factorial (n-1) Provide a relationship with the domain subset of

Q: Let x1, x2, and x3 be a random sample from and exponential distribution with mean θ. Suppose that…

A: x1, x2, and x3 are samples from exponential distribution with mean θ. So, E(x1)=E(x2)=E(x3) = θ and…

Q: It T is an unbiased estimator for 0, show that T² is a biased estimator for 8.

A: Given  E(T)=θ  Prove that E(T2)≠ θ2  Definition: (1) T is unbaised estimator θ iff E(T)=θ  (2) T is…

Q: a) Find the nth moment of X, about the origin. b) Let Y = 3X₁ + X₂. Find the second moment about the…

A:

Q: b) The number of planes to arrive at the Dubai International Airport over N days were recorded and…

A: From the given stem-and leaf display , the data of the number of arrivals are shown below. 20  21…

Q: When the classical linear model assumptions are fulfilled, the OLS estimator  is...…

A:

Q: 2. a) What are the properties of binomial experiment? b) A big box contains 10 samples of leaf of…

A: Answer for a): Properties of a binomial experiment are as follows: 1. There will only two distinct…

Q: Suppose a study reported that the average person watched 3.46 hours of television per day. A random…

A:

Q: The test statistic for a Wilcoxon signed-rank test is always the smaller of the number of the total…

A: Wilcoxon signed rank test is a non-parametric test in which we find  (sum of total positive ranks or…

Q: Let X1 be the sample mean of a random sample of size n from a Norinal(µ, o†) population and X2 be…

A: A statistic t is said to be an unbiased estimate of a parameter θ if Et=θ. Given μ^=ω X¯1+1-ωX¯2…

Q: The management at a certain factory has found that a worker can produce at most 30 units in a day.…

A:

Q: A. The winning time is -0.05503 seconds.., O B. The winning time is 0.05503 seconds. O C. The…

A: Given function  f(x)=-0.05503x+149.1 Differentiate the given function which the slope…

Q: (i) If X - N(u1, oi) and Y ~ (2 02), then X +Y - N(H1 + H2 oi + o). Gð If X is binomially…

A:

Q: Suppose you are tossing a fair coin to bet. At each time your gain is X¡. The rule is: (i) if you…

A: Here we consider fair coin means an unbiased coin which has the same probability of showing head as…

Q: Which of the following is a potential problem when assesing the fit of the human brain to the…

A: First check the normality of brain Mass and In brain mass by plotting the normal probability plot.…

Q: Let N(t) be the percentage of a state population infected with a flu virus on week t of an epidemic.…

A: The percentage estimated population would be N(4)=N(3)+N'(3) As(N'(3)=N(4)-N(3)4-3=slope So…

Q: The edge roughness of slit paper products increases as knife blades wear. Only 1% of products slit…

A:

Q: To examine whether parameter stability is reasonable, we can use the Recursive Coefficient Plot, for…

A: In linear regression method to check stability is reasonable we  use recursive coefficient  plot…

Q: In a certain village accidents occur infrequently. It is known that the probability of an accident…

A: Given that  n = 400 p =0.02

Q: 4. Suppose that Đ, and Əz are unbiased estimators of the parameters 0. We know that V(é,) = 20 and…

A:

Q: If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 -…

A:

Q: Suppose that you have to choose an optimal portfolio from a list of n stocks. Stock i has expected…

A: Given: A list of n stocks Stock i has expected revenue rate μi with variance σi2 for i=1,2,...,n…

Q: 7 What middle interval of z-scores includes 75% of all z-scores?             a -1.16 1.16 b -1.15…

A: We have given that,  middle interval of z-scores includes 75% of all z-scores?

Q: Suppose that X1, X2,... Xn are n values of a variable X and X is the arithmetic mean. Can we obtain…

A:

Q: Suppose that the elements of X = [X₁, X2, ..., Xn]' form a random sample from a Poisson (A)…

A: From cramer- rao lower bound we know that - Var(λ⏞(x)) ≥ {ψ'(θ)}2I(θ) ......(1) Where symbols have…

Q: Suppose we have an Erdos-Renyi model G (n, p). Let m be the number of edges of the graph. What is…

A: Erdos Renayi model

Q: Exep. 2. PROve Tuat opTimaL 1 Variance V= Di bouND Saris Fies THe uppeR < min Ai V

A: To prove - Prove that optimal Variance V = 1∑i = 1k1∆i satisfies the upper bound V &lt; min1≤i≤k∆i

Q: 2. Consider the floating point numbers with B = 3,p =4, –2ses 3. What is the minimum and the maximum…

A: Consider the provided question, Consider the floating point numbers with β= 3, p=4, -2 ≤e≤3. We need…

Q: 7. Suppose that the scores on a certain national test are ap- proximatery normally distributed, with…

A: X~N(570,20)

Q: Which of the statements is incorrect? If the population distribution is Normal, the sample mean will…

A: In this case, we need to identify the incorrect statement.

Q: Let X1, .., XN be random sample of chi-squared random variables each with 3 degrees of freedom. What…

A: We have given that the X1, X2 , . . . .  . XN be random sample of Chi-Squared random variables each…

Q: Imagine I compared two Correlated t-tests. In the first test, I noticed that the individuals were…

A: ANSWER  b. The first t-test will likely have a lower obtained t-value than the second t-test because…

Q: Suppose that you randomly selected 20 adults. Assume 18% of the population smoke. Roun answers to 2…

A: Given data,Number of adults n=20Proportion of population smoke is p=18%=0.18The Mean…

Q: X is the number of defective parts in a sample of 10 randomly selected parts coming from a…

A:

Q: Suppose that we have two attributes, gender and programs and, we observe the values of both…

A: Given that T=28 The two way table is,   Computing Engineering Electronics and Instrumentation…

Q: E(R) = To  + T1 + T2*B2 which of the following statements regarding the above model is correct? T1…

A: As T1 here is a constant and is not associated with any risk premium and asset price sensitivity…

Q: Captain Holt is 50 years old and he purchases a ten-year endowment insurance with ten annual…

A: Given, Captain Holt is 60 years old. Term of insurance = 10 year for $1,50,000 Benefit after death =…

Q: Vaccine A and B are given to 20% and 50% of the individuals in Country X, respectively, to protect…

A: Given Information: 20% of the individuals in country X are vaccinated with vaccine A. 50% of the…

Q: Alternative Crop A Crop B Crop C PROBABILITY Rainfall Medium 3500 3500 4500 0.5 High 7000 2000 4500…

A:

Q: Exponential distribution can be used to represent a series of k stations that must be passed through…

A: True

Q: assume X~ Binomial with P= and > n = 5 %3D Find the max Likle hood estimator.

A: X~Binomn=5, p=45 q=1-p=1-45=15

Q: In a certain village accidents occur infrequently. It is known that the probability of an accident…

A: Given: P=0.02 n=250

Q: If 6, and 6, are two unbiased estimators of 0, W, estimator of 0 where W, + W, = 1 1+ W, 6 2 is an…

A:

Q: Suppose X1, X2, ... , Xn is a random sample and Xi = {1, with probability p 0, with…

A: Given that, X1, X2, ... , Xn is a random sample and Xi = {1, with probability p         0, with…

Q: A medical researcher says that less than 82% of adults in a certain country think that healthy…

A: Given  Hypothesis  Ho: p≥0.82 vs H1: p&lt;0.82 (left tailed) Zo=-1.28

Q: 1. Starting on January 1st, let X count the number of days before we see the first instance of…

A: Solution:

Q: 5. Let X1,X,.., X, is the random samples from U (0,0). Three estimators for parameter 0 are given…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.