Find k such that the function is a probability density function over the given interval. Then write the probability density function. k f(x) = [10,70] What is the value of k? k= (Type an exact answer.) What is the probability density function? f(x) = (Type an exact answer.)

Q: Determine the value of c such that the function is a probability mass function. h(x) = cx(x-1), x=…

A: Given data h(x)=cx(x-1) ,  x=6,8,10,12

Q: The probability density of a random variable X is given in the figure below. 1 X 2 From this…

A: From the question we have to find X>1.64 or X<0.16  =(2-1.64)/2-0 + (0.16-0)/2-0 =0.36/2 +…

Q: For the probability density function shown, what is the value of h ? f(x) h 0.3 0.6

A:

Q: Consider the function f, with graph shown below. 0.3 0.2 y = f(x) 0.1 -3-2-1 1 2 3 4567 8 9 10 0.1…

A: In the given graph, f is the function of x. But the values of x are discrete and not continuous.…

Q: The probability density of a random variable X is given in the figure below. 0 1 X From this…

A: Given that  Pdf of X is  f(x) = 1 / (2 - 0) = 1 / 2 , 0 < X < 2

Q: Consider the function f, with graph shown below. 0.3 0.2 y = f(x) 0.1 -3-2-1 1 2 3 4 5 6 7 8 9 10…

A: To test y = f(x) is a probability density function, the following conditions are to be verified. 1,…

Q: The graph attached is the uniform probability density function for a friend who is x minutes late.…

A: X~U(0,30) a=0  , b=30 X~U(a , b)

Q: The probability density function of the life span of a battery is given by the function below, where…

A:

Q: The probability density of a random variable X is given in the figure below. 0 1 X 2 a) Write the…

A: In the given figure we have to finda.. Probability density function of X for 0<x≤2b.. Probability…

Q: For the probability density function shown, what is the value ofh? f(x) ↑ 0.45 0.8 1.25 2.5 Cannot…

A: The total area under the probability distribution function is always equal to 1. Total area=1 Apply…

Q: 1. A random variable X has a probability density function given by 2x + 6 fx(x) -3 < x < 2. 25 Let Y…

A:

Q: The probability density function of the random variable X is given by: Sce-2x 0 f(x)= = for x > 0…

A:

Q: In a recent survey, 10,000 households were randomly selected. One of the questions on the survey…

A: The provided information is as follows:The total number of households  is 10000. is the number of…

Q: Find k such that the function is a probability density function over the given interval. Then write…

A:

Q: 3. A function g(x) is a probability density function function g(x) = -&- 5z 5e is a probability…

A:

Q: f(x)=kx². [-1,1] = 1 (Type an exact answer.) he probability density function is f(x) = (Jyn

A: The pdf is as follows f(x)=kx2   [-1,1]

Q: Find k such that the function is a probability density function over the given interval. Then write…

A:

Q: onsider the function shown below. hat type of function is shown in this graph? 4c S C. 2 3

A: From the above graph, it can be concluded that the given figure is a type of cumulative distribution…

Q: The covariance in expected value notation is Cov(X,Y)= E[(X - x)(Y-Hy)]. a. Show that this is…

A: The covariance in expected value Cov(X,Y)=E[(X−μx)(Y−μy)]E(X)=μx,E(Y)=μy

Q: Consider the following exponential probability density function. a. Which of the following is the…

A: X has exponential distribution and probability density function of X isf(x)=12e-x2   for x≥0

Q: Let X be a discrete random variable with probability density function: FUNCTION IS IN THE IMAGE…

A: Step 1:(1)Here given probability density function,x012p(x)2CC2C Sum of All probbaility must be…