= 0 elsewhere Where b is a positive constant, is valid joint probability density function, find b.

Q: (Mandatory Suppose T has the probability density function fr(t) 2te-, for %3D year-old component…

A: Given the probability density function, fTt=2te-t2  for   t>0

Q: The entire area under the curve of probability density function f(x) must be equal to O Fix) O EX)…

A:

Q: Suppose that the amount of time that a math student spends on the Taco Bell during class break has…

A: Solution: From the given information, the probability density function of t is

Q: e) What is the cumulative density function of X?

A: Solution-: Given: a=5, b=50 Let, X- be the waiting time for the light to turn green in seconds…

Q: The exponential probability density function is f(y, 1)= \e¯ ^y for y, A20 Show that the exponential…

A:

Q: find the value of the constant c so that the given function is a probability density function for a…

A: Given,

Q: fxy(x, y)20. A joint probability density function is always non-negative.

A:

Q: determine which are probability density functionsand justify your answer.1. ƒ(x) = 1/18 x over [4,…

A: The expression of the function is f(x)=  1/18 x  The interval of the function is [4, 8]

Q: The exponential probability density function is f(y, 2)= he- for y, 120 Show that the exponential…

A:

Q: If X has probability density function f(x) = ce", 0 < x < 1. %3D Determine Var(X).

A:

Q: If the probability density function of X is : f(x) = e-x (1+e*)2 en what is the probability density…

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

Q: From this density, the probability that X is at least 0.42 js

A: We know that the graph of probability density of Uniform random variable is flat straight line.

Q: The random variables X and Y have joint probability density function f(x, y) = { c(x + xy), 0 <x <…

A:

Q: Let Kcosx f(x) = otherwise be probability density function of X a)Find the value of c b)Compute E…

A:

Q: What is the probability density function of W =min{X, Y }

A: Answer: Let X and Y be two independent random variables with identical probability density function…

Q: A lamp has a lightbulb with an average lifetime of 4 hours. The probability density function for the…

A: Probability density function is

Q: Determine the value of c that makes the function f (x, y) = cxy for 0 < x < 4 and 0 < y < 4…

A: The joint pdf of X and Y is given by f(x, y) = cxy , 0 &lt; x &lt; 4 and 0 &lt; y &lt; 4

Q: fxlx,y) = x2y is a joint probability density function over the range 0<x<2 and 0<y<3 12 Find the…

A:

Q: What should be the value of k for f(x) to be able to be a probability density function? f(x)=(2kx)/6…

A:

Q: Determine the conditional probability distribution of Y given that X = 1. Where the joint…

A:

Q: determine which are probability density functions and justify your answer. 1. ƒ(x) = 1/18  x over…

A: For a function to be a probability density function (p.d.f) it must fulfil the conditions;a)Function…

Q: Substitute the vaiue u = 25 into the equation for a. a %3D .04 So, substituting this value into the…

A: Given that, μ=25. The the value of a is, a=125a=0.04 Now, substituting the value into the…

Q: Is the probability density function a valid PDF? * if x 1 F(x) = x2 +=x3/2 %3D ON/30

A: the probability density function i.e., pdf of a random variable X is denoted by f(x) and the…

Q: . The diameter of a particle of contamination (in micrometers) is modeled with the probability…

A:

Q: The joint probability density function of X and Y is (2) e, 01).

A: Given joint density function is fx,y=e-x0≤y≤x≤∞ Find Px&lt;2,y&gt;1

Q: The life (in years) of a laptop battery has a probability density function defined by P(x) -z /5 5…

A:

Q: The particle size (in mierometers) is important in solid missile fuel, the probability density…

A: Given ,  f(x) = 3x-4     ,x&gt;10        , otherwise

Q: The joint probability density function is 3 f(x,y) = x + 0<x<1 0 <y<1 Cov(x,y) = ?. Write down the…

A:

Q: a) What must c be for the function to be a probability density function? b) Calculate F(1).

A: c can be calculated as:

Q: Find k such that f(r) = ke" is a probability density function over the interval (0, 2). Then write…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: The life (in years) of a laptop battery has a probability density function defined by P(x)=12e−x/2…

A:

Q: The temperature X at which a thermostatically controlled switch turns on has probability density…

A: The provided probability density function is  f(x)=12    59≤x≤600       otherwiseThe mean is…

Q: f(x) = 1/2*x^2 for 0<=x<=5 otherwise 0 How would I rescale this as a probability density factor,…

A: The given density function is, f(x)=12*x2      for 0 ≤X ≤5

Q: Suppose that the unknown X is non-negative and has the probability density function fx (x) = Ce¯ª, x…

A:

Q: Consider the probability density function if x 5. Find the median (accurate to 4 decimal places).…

A: Given PDF is f(x) = 14exifx&lt;034cos(x)if0≤x≤π20ifx &gt; π2

Q: Find the value of k that makes the given function a probability density function on the specified…

A: The given function is, fx=kx on the interval 1, 3. The objective is to find the value of k that…

Q: The life (in years) of a laptop battery has a probability density function defined by…

A:

Q: The probability density function is y = k (3x² – 1) in – 1 <X<2 = 0 else where Find the value of k…

A:

Q: Since height is a continuous numerical variable, its probability density function is represented by…

A: In statistics, the continuous variables are variables whose values can be given by an interval, they…

Q: Consider the probability density function if x 5. Find Pr(X < 4) (accurate to 4 decimal places).…

A: Find Pr(X≤π/4)=?

Q: For the one that is a probability density function, find the probability that is between 0 and 0.2.

A: ∫ -∞∞f(x)=1⇒∫ -∞0f(x) + ∫0∞f(x)⇒∫ -∞00 + ∫0∞8e-8x⇒8e-8x-80∞⇒-e-∞-e0⇒-e∞≠1 this is not a pdf

Q: If you know that the following function is joint probability density functio f(x,y) = {8xy* {8xy* 0…

A: Given that the density function is, f(x,y)=8xy4, 0≤x≤y≤t The value of t is obtained by using the…

Q: Find a value of k that will make fa probability density function on the indicated interval. f(x) =…

A: See the answer below

Q: Determine the value of e that makes the function f(x, y) = cxy for 0 < x < 4 and 0 < y < 4 satisfies…

A: Solution

Q: Decide whether the function f(x) =7x -5 is a probability density function on [- 1, 1]. If not, tell…

A: Topic:-  probability

Q: The life (in months) of a certain computer component has a probability density function defined by…

A: The life of a certain computer component has a probability density function defined by f(x)=13e-x/3…

Q: The random variable X has probability density function ke 200, r> 10 f(x) = otherwise where k is a…

A: The given pdf is as follows:

Q: The diameter of a particle of contamination (in micrometers) is modeled with the probability density…

A: Farmula  Var(X)=E(X^2)- [E(X)]^2 We want to find the value  (1) C  (2) E(X) = ?  Var(X) = ? (3)…

Q: The joint probability density function is f(x,y) = x +y? 0<x<l 0 <y<l Cov(x,y) = ?. Write down the…

A: