Let (X; Y ) be a continuous random vector with joint probability density function fx.ylx.v) =0 0.5 -1sxs1,0sys1 else Then P(X <-0.4) equals Select one: а. 0.2 b. 0.675 С. О.3 d. 0.5 e. 0.625

Q: Due to pollution 25 percent of the people in a country suffer from a lung related desease and 10…

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

Q: Let X be a continuous random variable with probability density function given by fx(x) = = 4.ce 1.…

A:

Q: The velocity of a particle in a gas is a random variable X with probability distribution fx(x) =…

A:

Q: Figure 1 shows the piecewise function (I), (II), (III) and (IV) for cumulative distribution function…

A: We have to construct the probability density function f(x)

Q: "Show that each function defined as follows is a probability density function on the given interval;…

A: The probability density function is given by : fx=20x+202 ; 0≤x&lt;∞ As we know that Pa≤X≤b=∫abfxdx…

Q: A random variable X has the probability density function f(x) = e* on it support [0,z]. What is its…

A:

Q: A random variable X has a probability mass function f(x) =)),x=1,2,3. The probability of X ≤ 1may be…

A: the probability mass function of random variable X isf(x)=8712x , x=1,2,3

Q: k рех, у) хсу. y = 1,2,3 other - and the marginal probability function of Y P (Y) 6

A: Given PDF is p(x, y) = kx2y,x=1, 2,  y=1, 2, 30,otherwise

Q: Suppose Y ~ Uniform(01,02) where the parameters 01 and 02 take the values -4 and -3 respectively.…

A:

Q: Pick randomly one card from a shuffled deck of cards. Determine the distributions (name and…

A: One card is randomly picked from a shuffled deck of cards,  X= Picked card is heart   Y= Picked card…

Q: For the probability distribution, find d. P(y = 6) e. f(y = 4) f. f(y= 6) g. F(y = 5.5) h. F(4) f.…

A: Since total probability is always 1:P(Y=−2)+P(Y=−1)+P(Y=0)+P(Y=1)+P(Y=2)=1

Q: Suppose X is a continuous random variable with probability density function 1 fx(x) = { 2 0…

A:

Q: (a) Explain why P(X ≤x) #1, for every x. (b) Find a and b. (c) Find the probability density function…

A:

Q: Suppose that Y Еxponential() ~ and let X = exp{-Y/ß} be a new continuous random variable. If…

A:

Q: ~ 2. Let X Exponential(\ variable with PDF = = ½), let Y~ Uniform(a = 1, b = 3), and let Z be the…

A: Probability (P):We're interested in the likelihood (probability) of a variable falling below a…

Q: What is the variance of X

A: here given continuous probability density function  c(1- x2)           -1 ≤x ≤ 10…

Q: 4.ry 0<r< 1,0 < y <1 f(r, y) = elsewhere Then P(0 < X < 0.5,0 < Y < 0.5) = (a) 1/16

A: Here, we have a joint pdf,  f(x,y)=4xy  , 0&lt;x&lt;1, 0&lt;y&lt;10     ,  otherwise

Q: The random variable X has probability density function 1 < x < 2 f(x) = otherwise. Calculate Var(4X…

A:

Q: No 9 f, ) - 8X, X2 onlyer Po.4< X - 0.2) = 2

A: Given, fx1,x2=8x1x2 ,0&lt;x1&lt;x2&lt;1

Q: For the continuous probability functionf(x) = Kx when x20 find

A:

Q: ) Write the joint probability density function. p) Express F(z) = P(¥ <z) using integrals and…

A: Let X and Y be continuous independent random variable have exponential distribution with mean θ

Q: Let X ~ U(a,b). Use the definition of the mean of a continuous random variable to show that μX =…

A: The mean of the uniform continuous random variable can be calculated as:

Q: Let X be a continuous random variable with probability density function 1 -1sx 2) is Select one: а.…

A:

Q: FX (x) of the random variable X is given as a probability density function. Find the probability of…

A:

Q: Sketch the graph of the probability density function over the indicated interval. F(x) = 1/20, [0,…

A:

Q: Suppose Y ~ Uniform(01, O2) where the parameters 01 and 02 take the values -4 and 6 respectively.…

A:

Q: The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is…

A: Solution

Q: x~n(0,1) and find the probability density function of the random variable y=|x|

A: Solution-:Given: We want to find the probability density function of the random variable

Q: A random variable 8-u (-÷:), find the probubility demsity function of the random variable Y = tan

A:

Q: A probability density function of a random variable is given by f(x) = expected value, the variance,…

A: Step 1: E(x) calculation  Step 2:v(x) calculation  Step 3: sd calculation  Step 4: final result in…

Q: Consider the probability density function 0 if x 4.

A: Given information f(x)=1/36(8+2x-x2); -2≤x≤4  Find  Pr(X≤2|x≥0)=?

Q: i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S -…

A: Here given, Let S be a continuous random variable representing the students' study time (in hours)…

Q: Determine the conditional probability distribution of Y given that X = 2. Where the joint…

A:

Q: puppose Y Uniform(01,02) vhere the parameters 01 and 02 ake the values -1 and 2 respectively.…

A: Solution: Let Y be the continuous uniform distribution between the interval θ1  and θ2.  Y~U(θ1, θ2)…

Q: P(Y'|D') =D (s

A: HERE use given Contingency table and baye's Rule

Q: A random variable X has probability density function for 0 < x < 2, 4 f(x) = { +(2x –- 3) for 2 < x…

A: Given: