The probability density function of a mixed random variable X is as follows: Af(x) 0.108(41) 0.20 8(x) 9,085(x-1) X a) Find the value of the constant a b) Calculate P[X s 2] 0.30 8(x-3) 3 0.15 8(x-5) 5 X

Q: A random variable X has the following probability mass function defined in tabular form as shown…

A: x-112P(X=x)2c3c4c

Q: The probability distribution of a discrete random variable X is given below. Value x of X P(X=x) -1…

A:

Q: Assume that the cumulative distribution function of the random variable X is (image): Determine the…

A: i) Since, -2<1.8<2 , so F(1.8) follows 0.25x+0.5 P(X < 1.8)=F(1.8)=0.25(1.8)+0.5=0.95

Q: Let X be a Geometric random variable with parameter p = 1/4. Find E(4X + 1)² and V(3 + 2X). Two fair…

A:

Q: Consider a random variable X with the following pdf: fx (x) 2/9 1/9- 0 + 3 6 8 a) What is P(X ≤ 5)?…

A: PDf of random variable X is:

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: Let P(A) = r and P(B) = s with AN B= p. Then P(A\B) equals Select one: а. 1 b. 1-5 C. 0 d. r

A: NOTE:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the mean, E[X], and variance, E[X2] - E[X], of a Uniform[a, b] random variable.

A: Given that X follows Uniform (a,b)  We have to find E(X) , Variance and E(X2)-E(X)

Q: C2. Let X be a random variable. (a) Let YaX be another random variable. What is EY, in terms of μ =…

A:

Q: Let X be a random variable. (a) Let YaX be another random variable. What is EY, in terms of μ = EX?…

A: Given : X be the random variable  Y=aX

Q: Let f(x)= cx for 1 3.2).

A: Obtain the value of C. The value of C is obtained as follows; Probability Density function: Thus,…

Q: x < -1 Fx(x) = x/4+1/2 -1 < x < 1 %3D 1 Sketch the CDF and then find the following: a) P[X < 1] and…

A:

Q: The probability distribution of random variable X is defined as follows:   X 0 1 2 3 4…

A: The expected value is calculated by the product of each observation and the corresponding…

Q: The probability distribution of a discrete random variable X is given below: Value x of X P(X=x) -1…

A: Given: Let X be a random variable. The probability distribution of the random variable X is provided…

Q: A discrete random variable, X, has the following pdf as follows. X 0 1 2 3 4 P(X = x) 0.15 0.3 a 0.2…

A: Step 1: Given table, pdf tablex01234P(X = x)0.150.3a0.20.1 Step 2: a) The value of 'a' can be…