Let X be a discrete random variable and Y be a continuous random variable. Which of the following statements is incorrect?

Q: Let X be a random variable distributed as Normal(5,4). Find the probabilities of the following…

A: Mean = 5  Variance = 4  Standard deviation= sqrt(4)=2  i)

Q: Let Y be a continuous random variable with mean µ, then P(Y = %3D = ) 0.25 O 0.5 O 10

A: Given that Y is a continuous variable with mean μ.

Q: Let X be a random variable that takes on values between 0 and c. That is, P(0 < X < c) = 1. Show…

A: Solution-: Given that x be the continuous random variable that takes values  between 0  and c i.e.…

Q: If continuous random variable X is normally distributed with µ = 5625 and σ = 875.5, what is P(5000…

A: Given μ=5625, σ=875.5 When X=5000,  Z=X-μσ=5000-5625875.5=-625875.5=0.7138 When X=6000,…

Q: (ii) For what value of 0, the random variables Y, and Y, are uncorrelated.

A:

Q: Suppose a discrete random variable Y has the probability function as given in the table below. Y 1…

A: The discrete random variable Y has the probability function as given in the table.

Q: which of the following random variables isn't discrete? (a) the number of children in a family (b)…

A:

Q: Assuming that n is a discrete random variable, show that E(E(EIn)) = E(E). %3!

A: From the definition of Eξ|η = ∑ξξ P(ξ|η) Now, Eξ|η is a function of η Let, Eξ|η = gη So, E(Eξ|η) =…

Q: Suppose the random variable X has the following probability distribution 2 1 1- 0.2 0.3 0.3 0.2…

A: Probability Distribution: It is a statistical function, describing all the possible outcomes of the…

Q: Let X and Y be two discrete random variables with the following joint probability function x =1, 2.…

A: Solution: From the given information, the joint probability function is

Q: Classify each of the following random variables as either discrete or continuous.

A: Here use definition of discrete and continuous variable  Measurable variable are Continuous variable…

Q: The discrete random variable X has the probability function, where k is consta x= 2,4,6,8 kx f(x) =…

A:

Q: Let X be a random variable with p.d.f. 0<x<0 S(x) = • ,find E(e3) O.w

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Which of the following random variables are continuous variables and which are discrete? a) number…

A: Discrete random variable is a variable which can take countable discrete values, is defined to be…

Q: For a discrete geometric random variable X with probability p=0.77, what is the probability that…

A: Given: Probability of success (p) = 0.77 Consider X be the random variable that follows the…

Q: If X and Y are independent random variables and f, g are measurable and real valued, why are f(X)…

A: X and Y are independent random variables. f and g are measurable real valued functions.

Q: If Z is a standard normal random variable, find x such that IP(|Z| > x) = 0.05 -1.96 1.645 1.96…

A:

Q: ) Let X be a random variable with p.d.f.

A: It is an important part of statistics. It is widely used.

Q: Let X und Y be two discrete random variables with a joiut probability distribution given by: X-2 X-3…

A: We have to compute P(X ≤ 2, Y ≤ 4) based on given joint PMF of X and Y.

Q: GV)=3 100 ()) + 를100200) ()) +7 1200500) (y) + Iso0,0) ( /200,500) (') + I[500,00) (* 8

A:

Q: All of the following are examples of discrete random variables except _ population of a city O time…

A: We have given the following statement about the discrete  random variable.  Note: According to…

Q: If X U(2.5, 8.5) is a continuous uniform random variable, what is P(X < 3)? Select the correct…

A: Given ,X~U2.5,8.5a=2.5b=8.5PX∠3=?

Q: Let X be a random variable such that X B( 12,8/9).

A:

Q: If continuous random variable X is normally distributed with u = 256.43 and o = 27.11, what is…

A:

Q: Which of the following random variables is continuous?

A: A variable is said to be continuous if it can take any value in an specified interval.

Q: 2. Let the mgf of a random variable X be Find P(X 1 or X 2).

A: We want to find the P(X=1 or X=2)

Q: Let X and Y be two discrete random variables with a joint probability distribution given by: X=1 X=2…

A:

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

A: False

Q: Suppose x is a uniform random variable with a = 20 and b = 60. Find the probability that a randomly…

A: From the given information, Consider, X be the random variable that follows uniform distribution.…

Q: 4 f(x) = OTHERWİSE 0, -12112

A: EX=∫-20x.fxdx+∫02x.fxdx=∫-20x12+x4dx+∫02x12-x4dx=∫-20x2+x24dx+∫02x2-x24dx=12∫-20xdx+14∫-20x2dx+12∫02…

Q: For any continuous random variable, the probability that the random variable takes on exactly a…

A: The probability distribution of a continuous random variable X is an assignment of probabilities to…

Q: Determine the value c so that each of the following functions can serve as probability distribution…

A: ANSWER:-

Q: Let X be a random variable with distribution symmetric around c and median x.5. Show that c = x.5

A:

Q: Let X be a discrete random variable with the following pmf: 10 15 21 28 p(x) | 8-c 4.c 9-c 10-c 5.c…

A: It is given that, P( X≤ 2 ) = 0.24. That is, P( X≤ 2 ) = 0.24 P(X=0)+ P(X=1 ) = 0.24 8c+4c = 0.24…

Q: If the probability den sity function of a continu ous random variable X is [a+ ba² 0<x <1 f(x) :…

A:

Q: Let X be a random variable such that P(X) = 0.25 for x = 1, 2, 3, 4| .What is |P(5) ?

A:

Q: let X be a random variable and X is normally distributed such that (p = 35), (o = 4) then: P(36 < x<…

A:

Q: Which of the following random variables could be treated as continuous? A number of apples in a bag…

A: Continous random variables are those which change with time. Country birth increases with time.…

Q: E[(1 – p)*] = (1 – p?y: %3D

A: Let a random experiment be performed repeatedly, each repetition is called a trial. let the…

Q: Let X be a random variable defined by the following probability distribution. 1 4 f(x) 1/6 2/6 2/6…

A: We have to find the man and variance of given probability distribution.

Q: Let Y be a discrete random variable with generating function 4 Gy (s) 6 - s s2 What is E(Y) (in…

A:

Q: Let Y be a discrete random variable with generating function 4 Gy (s) = 6 – What is Var(Y) (in…

A:

Q: Let Y~N(4,4), and Z=((Y-4)/4) is a standard normal random variable. O True False

A: Answer : - Given Y ~ N(4,4)  and Z = y-44  is a standard normal random variable…

Q: f X is a geometric random variable with p=0.70 hen p(x=2) =

A:

Q: let x be a discrete random variable with probability function p(x)= cx/20 for x = 2,3,4,5,6,8,12…

A:

Q: Which of the following items can be considered a continuous type of random variable? a. number of…

A: Continues random variable : A variable which takes values in range known as continues random…

Q: Why is the probability that a continuous random variable equals a specific number zero?  That is,…

A: By definition,