Let X and Y be two independent random variables such that E[X]=3, E(Y)=4, V(X)=10 and V(Y)-20. Then E(x-Y)³J is equal to: a. 55 b. 31 с. 20 d. 15

Q: For the random variable X. E(X) = 2, E(X =7 then the value of Tar(2X+3) is

A:

Q: A statistic is biased when: when the sample statistic does not match the population parameter a.…

A:

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: For two random variables X and Y where X∼ exponential(0.5) and Y|X = x ∼ N(5,x2), find E(E(X|Y ))

A: Given, Two random variables X and Y such that X~Exp(0.5) and Y|X=x ~N(5,x2)

Q: Select one: а. О b. 2 C. var(x) d. - 2 e. 1

A: To find the value E[X(1-X)].

Q: Let X be a continuous random variable symmetric about Y. Let Z = 1 if X>Y OR Z = 0 if X <= Y. Find…

A: Given: Z=1 if X&gt;Y OR Z=0 if X&lt;=Y

Q: d) Show that an alternate formula for a z-interval of the population mean is: E(x – 1)² n·x2

A:

Q: H 10.1 Inference for Categorical Data: Comparing Two Proportions Treating Lower Back Pain Patients…

A: In this problem, we are required to find the 99% confidence interval for the difference in the…

Q: 2. Let X be a random variable with E[X] = 15 and Var[X] = 10. Suppose Y = 2X – 7, Use the properties…

A: Given,E(X)=15Var(X)=10and Y=2X-7

Q: JT Given L 3. then Lte %3D 2 f-2) 2 -25 2 s-2) -2)'

A:

Q: The rise times (unit: min.) of a reactor for two batches are measured in an experiment. 1. Define…

A: Note:-Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: 4. Let R1, R2 be the result of two independent rolls of a fair die. Let S= R1+R2 and D= R1 – R2 be…

A:

Q: .6°F 3.6°F 8.6°F 38.6°F

A: Hypothesized mean (μ) = 98.6° F Then,  We will find the null hypothesis.

Q: The proportion of students who get an undergraduate degree in statistics in four years was compared…

A: Since, the proportion of males and females is to be compared, the parameter of hypothesis are…

Q: If the random variable Y has the pdf pictured below: 2 a) Find pdf of X? b) Find CDF of X? c) Find…

A: From the figure we can see, P.d.f of X  is given by, f(x)= 1/2 ,.        0&lt;X&lt;t

Q: We roll 2 six-sided dice. Let X be their sum and Y be the larger value of the two. Find E[X] and…

A:

Q: A population has SS = 100 and σ2 = 4. What is the value of Σ(X – µ) for the population?   a. 0   b.…

A: The formula of SS is, The formula to obtain the sum of squared deviations for the population is,

Q: c) i) Find the value of k which make the following function a pdf (15, y 64 64 - 2syso fV) = + ky…

A: INTRODUCTION:  Probability density function: The probability density of continuous random is called…

Q: Let X and Y are two independent random variables with probabilities P(X) = {0.25,0.45,0.3} and P(Y)…

A:

Q: The table below shows how students performed based in their gender. Use the table to answer the…

A: Given The performance of student based on gender Find The probability student got A grade is female…

Q: H0 : µ= 60 H1 :  µ > 60  X̄=62    σ=10    n=100 and α=.05 The decision of the test is: a. accept…

A:

Q: Q1. Let X and S? be the mean and variance of independent random samples of size n; from populations…

A: From the given information, μ1=20σ12=9n1=36μ2=18σ22=16n2=49 d) The value of s2 such that…

Q: let Y be a random variable that can either be equal to 0 to 1. let p(Y=1)=p,what is E(|Y-p|)?

A:

Q: The alternative hypothesis for this hypothesis test is: the population correlation coefficient of…

A: In this scenario, the aim to investigate whether there is a significant positive correlation between…

Q: Find (d) E (X² . Y²)

A:

Q: For the discrete random variable X, P(X = 1) = p = 1 – P(X = -1). Please find c so as to be E(cX) =…

A:

Q: Suppose U = 2T - 1 where T is a geometric random variable with parameter p. What is Var(U)?

A:

Q: We roll 2 six-sided dice. Let X be their sum and Y be the larger value of the two. Find A:E[X]…

A:

Q: Let the random variable Y = a + bX. Then oy = |b| Ox.

A: False

Q: 3.It is thought that basketball teams that make too many fouls in a game tend to lose the game even…

A: (a) The value of coefficient of determination:The given data is represented in the following table:

Q: Determine whether the alternate hypothesis is left-tailed, right-tailed, or two-tailed. Ho:μ = 26…

A:

Q: A mathematics teacher recorded the length of time, y minutes, taken to travel to school when leaving…

A: As per our guidelines we are suppose to answer three sub parts. X Y X*Y X*X Y*Y 0 16 0 0 256…

Q: 11.1 Events A and B are independent .Given that ● P(A only) = 0.4 P(A and B)= 0.3 P(B only) = x…

A: Given that events A and B are independent events  And P(A only) =0.4 P(A and B) =0.3 [intersection…

Q: Q.3 A teacher finds that for test grades in Class A, X = 32 and S x 4; for test grades in Class B, X…

A: The teacher should use measure of central tendency (arithmetic mean) to get a representative of the…

Q: 3. Let X and Y be i.i.d. standard normal random variables. Find E[X2 +Y²] and EVX² +Y².

A:

Q: and 4p-1. Find the value of (a) -3√TI (b)-3-√II (c) -3+√II (d) 3-√II Use the following to answer…

A: Given that  p(x)=c/3x  x=1,2,3... 35.. We have to find value of c  36.. P(2≤X&lt;5 )    37.. We have…

Q: ( Prove that Z has zero mean and unit variance. Note that this is true X' whether Z is normal or…

A: Let us consider, EX=μXV(X)=σX2 Consider, E(Z)=EX-μxσX       =1σXE(X)-μx       =1σX(μx-μx)        =0…

Q: a prob. 174 Find (c) E (XY)

A:

Q: a) Do you think the variables x and y are independent? Explain your answer. No. Interest rates…

A: Given, μx ≈ 7.35,     σx ≈ 6.59,      μy≈ 13.15,     σy≈ 18.56,    ρ≈ 0.423 Since you have posted a…

Q: For a random variable X, you are given: E[2*] = e#(z-1) Determine the coefficient of variation of X.

A:

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

A:

Q: Suppose that X1, X2, .. , Xm and Y1, Y2, .. , Yn are independent random samples from N(ux,o3) and…

A: Given that X1, X2, ........,Xm and Y1, Y2,..... Yn are independent random samples from N(μx ,σx2 )…