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- The cumulative distribution function of a random variable X is defined by the equation: (in the picture)a. Determine the probability density function of the random variable X b. Determine the probability random variable x from ½ to 1 c. Is the probability density function a valid PDF?Probabilty; X is continuous random variable and its density function is .... What is k ?A continuous random variable X has a normal distribution with mean 6. The probability that X takes a value greater than 15 is 0.38. Use this information and the symmetry of the density function to find the probability that X takes a value less than -3.
- continuous random variable has probability density function given by F(x) =k(2x+3) 1<=x<=2 0 ,otherwise Find k if f(x) is a probability density functionFind Value of k P(1.5<=x<=4) ?Probability Density Function Note: Kindly express the final answers in FRACTION FORMThe random variable X models the loss in thousands of dollars due to a fire in a commercial building. Its density function is f(x) = 0.005*(20-x) for 0 being less than or equal to x and x being less than or equal to 20 and f(x)= 0 otherwise. Given that a loss due to the fire exceeds $8000, find the probability the loss exceeds $16000.
- A discrete random variable has probability mass function p ( x ) = c x 2 , x = 1 , 2 , 3 . Find the value of c such that this is a probability mass function. Please give your answer to 2 decimal places.The life expectancy of a smartphone's battery X in days is a continuous random variable with probability density function fx=6x1-x for 0 ≤ q x ≤ q 1. Find the probability that a smartphone chosen at random will have a life expectancy exceeding 12 hours.Joint and Marginal Density Function for Continuous Random Variables
- 3. The total number of hours, measured in units of 100 hours, that a student spends time in Mobile Legends over a period of one week is a continuous random variable X that has the density function, (PICTURE) Find the probability that over a period of one week, a student spends time in Mobile Legends A. less than 120 hours B. between 50 and 100 hours.Random variable X has a continous probbabilty distribution defined by distribution function: (picture) Determine the distribution function and marginal density of random variable Y=X2The random variable X has a uniform density function over the interval [-1, 1]. a. Sketch the probability density function of X. Find the mean and variance of X .
