Match up the following random variables with the values they can take. X Bin(5,0.7) Drag answer here X = 0, 1,2,... X Geom(0.7) X = 0, 1, 2, 3, 4, 5 Drag answer here X Bernoulli(0.7) X = 0,1 Drag answer here X~ Bin(1, 0.7) X = 1,2, 3,... Drag answer here X Poisson(5) Drag answer here

Q: 1. If X ~ N(µ, σ²) and you have observed the data X₁, X2, X3, . Xn ... 9 Find the MLE for o². Show…

A: X~N(μ,σ2)

Q: FILE ERS TALS URSES A 0.25 d. Are events A and C mutually exclusive? Yes, they are mutually…

A: solution of the given question is like this;as in the given question; from the part d) and e) we can…

Q: Suppose a biologist collected data on the weight of 50 lab rats that were 3 weeks old. The boxplot…

A: We want to tell a skewness from box plot in given question

Q: Page 153, 2.8.8*. Let X and Y be independent random variables with means μ₁, μ2, and variances ²1,…

A:

Q: 3-A randomly selected dice (2 die) is been tested to be fair (all sides are equally likely to come…

A:

Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

A: According to the given information, we have The data given in the table lists drive-thru order…

Q: (3) Suppose that 5 voters voted for candidate A and 15 for candidate B. Is it safe to conclude using…

A: From the given information, H0:p≥0.5 vs. H1:p<0.5 Let X1,X2,...,Xn of voters who either voted for…

Q: Let X be a standard normal RV. Suppose Y = 2X+3 and Z = -X+6. a) Find the covariance between Y and…

A: Here we have given X is standard normal variate Y = 2X+3 AND Z =-X+6 We have to find the following.

Q: 1. Let the variable X be someone's disease status X = D then someone has strep throat X = Dc then…

A:

Q: Please answer questions d , e and f for me

A: Given : The provided table is a probability distribution of the amount of time required to evacuate…

Q: Q1 Suppose X; ~ N(µ, o²), i = 1, 2,...,n and Z₂ N(0, 1), i = 1, 2, ..., k, and all random variables…

A: As per the Bartleby guildlines we have to solve first three subparts as specified by student rest…

Q: A scientist collects the two sets of measurements x = {11.70,13.34,12.69,12.92,12.96,12.96,14.90}…

A: Solution: To find covariance between two data set n= 7 observation:…

Q: 2. Let X,, X2, ...,X, be independent random variables. Show that X, ~N(µi, o7) ,Vi= 1, 2, ,...,n S,…

A: X1,X2,....,Xn are independently normally distributed. Xi~Nμi,σi2 for all i=1,2,3,...,n.

Q: The jar contains five balls, numbered 1 to 5. A ball is drawn at random and X is the number on the…

A: HERE GIVEN  Jar contains 5 balls numbered 1 to 5.A ball is drawn at random X is the number on ball.

Q: 3.3.5 Let Y and Z be two independent random variables, each with positive variance. Prove that…

A: Let Y and Z are two independent variables, each with positive variance.Prove that Corr(Y,Z)=0

Q: Let y1, ., Yn be a simple random sample of size n from UTM students. Assume that the population size…

A:

Q: Use the two areas to find the area under the normal curve between 142 and 149 grams. Explain or show…

A: Mean and standard deviation:

Q: For two random variables X andY the following information is given. V(X)=3, V(Y)=2 and cov(X, Y)=…

A: The provided information are: V(X) = 3, V(Y) = 2 and Cov(X,Y) = -1

Q: 0². Find expressions for the following in terms of the mean and variance:

A:

Q: 12. Suppose that Y~ N3(0, In). Find the m.g.f. of 2(Y₁Y₂ - Y₂Y3 - Y3Y₁). Hence show that this random…

A: Given that .

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.