For each of the following, determine whether the given function can serve as the probability mass...
Determine the value c so that each of the following functions can serve as a probability distrbution of the discrete random variable X (a) f(x) = c(X + 8), for x = 0, 1, 2, 3 (b) f(x)=C for x = 0, 1,2 (a) c = (Simplify your answer.)
help 1). Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X (a)(x) c(2 +4), for x -0, 1, 2, 3; (b)/(x) c(C)(3.) ), for x-0, 1 , 2,'i 1 11
(1 point) For each of the following, determine the exact value of c that allows the function to serve as the probability distribution of a random variable with the given range. If no such c exists, enter DNE for does not exist. a) f(x)-c r for a 1,2,...,4c1/10 b) f(x) = c-for x-1, 2, . . . c of(x)-c. - , . . . c for x- 1,2, 3 6
2. Determine whether the function f(x) is a valid probability distribution (PMF) for a random variable with the range 0,1,2,3,4 12 f(x) = 30 3. Suppose X is a random variable with probability distribution (PMF) given by f( and a range of 0,1, 2. Find the distribution function (CDF) for X 6
12 Verify that the following function is a probability mass function, and determine the requested probabilities. [Give exact answers in form of fraction.] f(x)-(5/6)(1/6)" x=0,1,2, , (a) P(X= 2) (b) P(X s 2)-.uI = i (c) P(X > 2)= (d) P(X21) = T Your answer is partially correct. Try again. Verify that the following function is a probability mass function, and determine the requested probabilities f (x)3x+3 45x 0, 1, 2,3,4 Is the function a probability mass function? Give exact...
The following function is probability mass function. f(x)-4x+2, X:0, 1, 2, 3, 4 Determine the mean, p, and variance, o2, of the random variable. Round your answers to two decimal places (e.g. 98.76) 2.80 9.2
Verify that the following function is a probability mass function, and determine the requested probabilities. f(x) = (3x+4)/50, x = 0, 1, 2, 3, 4 Is the function a probability mass function? (yes/no) Give exact answers in form of fraction. (a) P(X = 4) = ? (b) P(X ≤ 1) = ? (c) P(2 ≤ X < 4) = ? (d) P(X > -10) = ?
Please answer the question clearly 1. Find the probability distribution (PMF) of Y, denoted by f(y), where Y is the absolute differ- ence between the number of heads and the number of tails obtained in four tosses of a balanced coin 2. Determine whether the function f(x) is a valid probability distribution (PMF) for a random variable with the range r - 0,1,2,3, 4. r2 f()30 3. Suppose X is a random variable with probability distribution (PMF) given by f(x)...
3x+1 # 6 Given that f(x) is a probability distribution for a random variable that can take on 50 the values x = 1,2,3,4,5, find an expression for the cumulative distribution function F(x) of the random variable. 15
The following function is probability mass function 5x 4 f (x) 0, 1, 2, 3, 4 x 70 Determine the mean, , and variance, o, of the random variable. Round your answers to two decimal places (e.g. 98.76) =