Compute P(x > 1).  Compute E(x). Compute Var(x)

Q: 1 The discrete random variable X has Var (X) = 5 Find Var (4X – 3)

A: Given Data: Var(X)=5 Equation: Var(4X-3) ......(1) Simplify the equation (1). Var4X-3=42VarX=16VarX

Q: Suppose that X has a Poisson distribution with mean : 2 and Y has an exponential distribution with…

A: The random variable X has a Poisson distribution with mean μ=2, and Y has an exponential…

Q: Suppose a time series Yt is given by a random walk Zt and a white noise process Et where Yt = Zt+Et.…

A: Suppose a time series Yt is given by a random walk Zt and a white noise process Et where Yt = Zt+Et…

Q: Suppose that in this time of pandemic,50% of the population in a certain province had received…

A:

Q: Q1\A/ Consider a discrete random variable X whose pmf is given by: Find: 1-E[ X ] and Var( X )? f(x)…

A: Given p.m.f. is  f(x)=13                    x=-1,0,1     =0                        otherwise

Q: If X,, X2,...,X, constitute a random sample of size n from a population with p.d.f. given by .....…

A: Find MLE of θ

Q: Suppose for this random variable X we want to compute P(X ≤ 3)

A:

Q: Suppose for a random variable X that E(X) = 5 and Var(X) = 3. What is E((X + 3)2)? %3D

A:

Q: Let px (x) be the pmf of a random variable X. Find the cdf F(z) of X and its graph along with that…

A: a). Find the cdf F(x) of X and sketch the graph: The probability mass function is given below: X…

Q: Suppose X given N has a binomial distribution with p=0.4 and N has a Poisson distribution with mean…

A: X given  N has a Binomial distribution. P=0.4,mean(n)=10. E(X)=np.

Q: b) Give a method for simulating 1- e-3r exponential random variable with cdf F(x) an

A: Simulating a random variable that follows a particular distribution means to generate random…

Q: X is an exponential random variable with parameter λ = 4   Calculate P {X ≤ 3

A:

Q: Suppose that random variables X₁ and X₂ have exponential distribution with expected value of and…

A:

Q: Suppose a random sample of 200 observations from a binomial population has produced p=0.44 and we…

A: Given, Ho:p=0.50Ha:p<0.50 n = 200 p^=0.44

Q: If X is Poisson random variable with parameter λ, compute E[1/(X + 1)]

A: We have given that If X is Poisson random variable with parameter λ,  we have to compute E[1/(X +…

Q: The rule of thumb for using the normal approximation to the binomial is that both np and n(1 − p)…

A: Binomial approximation: The normal distribution can be used as an approximation to the binomial…

Q: Suppose N is a Poisson random variable with mean A. Show that E (1+ for any constant a. +a)^

A: Hello! As you have posted 2 different questions, we are answering the first question (4-2). In case…

Q: Suppose that the conditional distribution of Y given X = x is Poisson with mean E(Y|x) = x, and that…

A: d) From the given information, The conditional distribution of Y given X=x is Poisson distribution…

Q: Suppose that only 0.1% of all computers of a certain type experience CPU failure during the warranty…

A:

Q: Let X, Poisson(A,), for i = 1, 2. (a) Show that X1+ X2 ~ Poisson(A1+ A2). (b) Show that X1 | X1 + X2…

A: Introduction: If X ~ Poisson (λ), where λ is the rate of occurrence of the event of interest in a…

Q: Find P(X = 3) if the mean of the Poisson random variable is A = 11. %3D 0.002021 0.271801 0.003705…

A:

Q: 3. Find a PDF of a random variable X whose CDF is given by Fx(x) = (1-e*)[0,00) (x).

A: Solution

Q: If X1 and X2 constitute a random sample of size n = 2from a Poisson population, show that the mean…

A: Sufficient Estimator: An estimator is said to be sufficient, if the statistic used as an estimator…

Q: Suppose that the unknown X is uniformly distributed between 0 and 1.  What is the expected value of…

A: Given: X is distributed uniformly between 0 and 1 a=0 and b=1

Q: When we consider a random sample of size n as X,,., X, which is from Binomial (n, 6). X+1 a. Is -…

A: We have given :

Q: Let X be a random variable with E[X]=2, Var(X)= 4. Compute the expectation and variance of 3– 2X .

A: Solution-: Given: E(X)=2, Var(X)=4 Our aim to find, (a) E(3-2X)=? and  (b) Var(3-2X)=?

Q: Compute f(2).

A: Consider a binomial experiment with n=2 trials and p = 0.2. Our aim is to Compute f(2)

Q: Consider a binomial experiment with n = 20 and p = 0.4. Calculate the P(X ≥ 10). Do not use normal…

A: Given that  n=20 , p=0.4 X~Binomial(n=20 , p=0.4)

Q: A researcher obtains t= 2.25 for a repeated-measures study using a sample ofn=10 participants. Based…

A: It is given that t= 2.25. Df = n- 1 = 10-1 = 9.   For α = 0.05: It is given that α = 0.05, the area…

Q: Let X1, X2,..., Xn be independent exponential random variables with mean if. For example, E(X1)=0,…

A:

Q: Suppose that X has a Poisson distribution with h = 80. Find the probability P(x is less than or…

A: Given, X ~ Poisson (λ = 80)   The probability mass funnction is given by: f(x, λ) = P (X = x) = λx…

Q: In a study to estimate the proportion of residents in a city that support the construction of a new…

A: The bias of an Estimator: It is the difference between the estimated value to the actual value. If…

Q: Suppose that a random variable X is an Exponential Random Variable with parameter β = 3. (a) What is…

A: Solution: From the given information, X follows an exponential distribution with parameter β=3.

Q: If X1, X2, X, is a random sample from an exponential population having mean 1 find the exact…

A:

Q: Suppose that in this time of pandemic,50% of the population in a certain province had received…

A:

Q: Let X and Y be two independent random variables such that X is Gaussian with mean 2 and standard…

A: answer is  5

Q: If the discrete random variable X has the pmf for 2-1,0,1,3, a = find E(X), and var(X).

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: Consider a binomial experiment with n = 10 and p = .1 d. Compute P(x≥1). e. Compute E(x). f. Compute…

A: (d)   Obtain the probability of X greater than or equal to 1.   The probability of X greater than or…

Q: Consider the distribution of Binomial, Poisson, Exponential, Gamma, and let T=X+ 4 & T, = (X- 1).…

A: An estimator is said to be unbiased if E(Statistic)= Parameter If not so  Then the estimator is…

Q: 1. Let X, 2 Poisson(A,), for i = 1,2. (a) Show that X1 + Xy~ Poisson(A + A2). (b) Show that X| X + Y…

A:

Q: A company has 9000 arrivals of Internet traffic over a period of 20,740 thousandths of a minute. Let…

A:

Q: n = 10. Compute P(X=0), P(X=2), E(X) and VarX.

A: Let p is probability of success. n is number of trail. q be probability of failure. X is binomial…

Q: Suppose that the unknown X is uniformly distributed between 0 and 2. What is the expected value of…

A:

Q: It is assumed that X has a Poisson distribution with some parameter A with A 20, but the value of A…

A:

Q: Suppose that the number of accidents occuring on a highway each day is a Poisson random variable…

A: Consider X be the random variable representing number of accidents in an highway.    X follows…

Q: Suppose that the probability distribution function for the random variable X is given by: 2X f(X) =…

A: There are two types of variables : Continuous variables and discrete variables. Continuous variables…

Q: Suppose that X is a discrete random variable with P(X = 0) = 0.3, P(X = 1) = 0.2, P(X =2) = 0.15,…

A: Given X is a discrete random variableP(X = 0) = 0.3P(X = 1) = 0.2P(X = 2) = 0.15P(X = 3) = 0.35 The…

Q: X is an poisson random variable with parameter λ = 4 Calculate P {X ≤ 3}

A: It is given that X is the random variable and the mean given by λ is equal to 4 The probability of X…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.