What should be the value c so that the function f random variable X? 1*(x2 +93),...
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
EXERCISE (x2+1), where . < 1) A random variable X has the density function f(x)= a) Find the value of the constant C b) Find the probability that X lies between 1/3 and 1
a) Consider the function f(x) = x2 defined over the interval [0,a]. What is the value of “a” for this to be a valid probability distribution function? Express your answer to four decimal places. b) develop the cumulative distribution function, F(x), and use it determine the probability that the random variable X is less than one.
. Assignment of probability p, to each value of the Continuous Random Variable x. B. Assignment of frequency f, to each value of the Discrete Random Variable x. C. Assignment of probability p, to each value of the Discrete Random Variable x. D. Assignment of frequency f, to each value of the Continuous Random Variable x. Given the discrete probability distribution in the table below, answer questions 12-15 23 4 Po)10.12a a-0.11 0.28 12. Calculate a A. 0.46 B. 0.33...
Question 2 Not yet answered Marked out of 2 Flag question Determine the value c so that f(x) = C (x+1)2, for x = 0, 1, 2 can serve as a probability distribution of the discrete random variable X. O a. 1/14 O b. 1/6 O c. 26/3 O d. 1
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.)
2. Let X be a discrete random variable with the probability function given by f(2) k(x2 – 2x) + 0.2 for x = 0,1, 2, 3. (Note: all answers to the questions below must be fully evaluated.] (a) Find the value of k. (b) Find f(1.38) and F(1.38). 3. According to government data, 25% of employed women have never been married. If 20 employed women are selected at random, what is the probability that two or fewer of them have...
A random variable X has a distribution with probability function f(x) = K(nx)2x for x = 0,1,2,...,n where n is a positive integer. a. Find the constant k. b. Find the expected value M(S) = E(esX) as a function of the real numbers s. Compare the values of the derivative of this function M'(0) at 0 and the expected value of a random variable having the probability function above. c. What distribution has probability function f(x)? Let X1, X2 be independent random variables both...
A random variable X has a Par(3) distribution, so with distribution function F with F(x) = 0 for x < 1 and F(x) = 1 - x^3 for x >-. For details on the Pareto distribution. Describe how the constant X from a U(0,1) random variable.
X is a discrete random variable with cumulative distribution function F(x) as shown in the table below. What is P1[.X<2]? fr F(x) 1/8 30-as 0 100 - 0 m 0 oon 100 0 0 O E. cannot be determined