The probability density function for continuous random variable, x, is given above. P(x P(x = 1.5) =

Q: The table below represents the probability density function for the random variable X. Find the…

A: Solution: From the given information, the probability density function for the random variable X is

Q: The pdf of a random variable X is given by: f(x) = C for 5 ≤ x ≤ 10 Please decide the value of C in…

A: Given that     The pdf of a random variable X is given by  f(x) = C for 5 ≤ x ≤ 10 Also we know that…

Q: A coin is weighted such that P(H) = 1/3 and P(T) = 2/3. This coin is tossed five times. Let X be the…

A: Given information P(H) = 1/3 P(T) = 2/3 n = 5 X denotes the total number tails X ~Bin (n = 5, p =…

Q: Fy be the cumulative di Fx (1) = 0 %3D F, (1) - F, (0) = D %3D Fx %3D 2

A: x p(x) F(X) -2 0.21 0.21 -1 0.28 0.49 0 0.2 0.69 1 0.15 0.84 2 0.16 1

Q: Calculate the expected value E(X) of the given random variable X. X is the lower number when two…

A: Two dices are rolled.

Q: Find the variance of the probability density function using two methods. 5 f(x) 8 [0, 2]

A:

Q: The distribution of random variable X can be described by the following probability mass function:…

A: The probability mass function for the X can be defined as:

Q: Given the probability density function f(x) = value, the mean, the variance and the standard…

A:

Q: The weekly demand for diesel fuel by a bus company is a continuous random variable, X, with…

A: The value of P1.2<X<1.75 is,…

Q: rcise 3.2 In Exercise 3.1, the following probabilities have been calculated: P(X=1/8) = 0.2,…

A:

Q: 1. Find the value of c. 2. Find the expectation E[X] of X. 3. Find the variance Var(X) of X. (c,…

A: The provided information is as follows:The  is a random variable with the probability density…

Q: The density for the random variable X, the number of people per day who sought unnecessary treatment…

A: We have given that,  Let X be the random variable having probability mass function is,     X :…

Q: The table below shows the probability distribution for a discrete random variable X. X 0 1 2 4 5…

A: According to the given information in this question We need to find the value of n and expected…

Q: Consider a random variable X with the following probability density function (PDF): 0< x≤ a fx(x) =…

A: mean = a5/15 median = 1.565  mode = aExplanation:so median is 1.565  The mode is the value of x…

Q: The table below shows a probability density function for a discrete random variable X. What is the…

A: x P (X=x)  0 1/12 1 5/12 2 1/12 3 1/6 4 1/6 5 1/12

Q: the table below shows a probability density function for a discrete random variable X that is the…

A: Given the probability  density function for a discrete random variable X. We have to find the…

Q: The total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period…

A: The density function of X is given as, The mean for f is,