PLEASE SHOW ALL WORK 10. The cumulative distribution function (c.d.f) of a random variable X is...
(6 points) The continuous random variable X has cumulative distribution function given by 0 for x <0 for x > 2 Part(a) Find the value of c correct to one decimal place given that E(X c) 4E(X - c). 0.4 Part(b) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than 1 and the other is greater than 1. The order in which we take the observations matters. Part(c) Find...
Statistics - Introduction to Probability Please show all work Let Y1 and Y2 be continuous random variables with the joint p.d.f. (probability density function) f(V1, V2) given by Vi + V2 for Os Visl and O SV2 s 1 f(V1, V2) { 0 elsewhere Find the marginal c.d.f. (cumulative distribution function) of a random variable Y1
Cumulative distribution function The probability distribution of a discrete random variable X is given below: Value x of X P(x-x) 0.24 0.11 -2 0.26 0.11 Let Fx be the cumulative distribution function of X. Compute the following: X 5 ? 18+ (-2) - Px (-4) = 0
1. You are given a function (a) Show that F(x) is a cumulative distribution function of a certain random variable X on [3, 4]. (b) function associated with F(x Find the probability density (c) Calculate the probability that X is no more than 3.5, given that it exceeds 3.2. (d) Determine the expected value of X.
Show steps, thanks! 2.5.9. The random variable X has a cumulative distribution function 0, forx<0 F(x) for x > 0. for x > , 1+x2" · Find the probability density function of X.
please help with all. In the following probability distribution, the random variable x represents the number of activities a parent of a 6th-to 8th grade student is involved in. Complete parts (a) through (1) below. * 1 0 1 2 3 4 5 P(x) 0.269 0 206 0.224 0.239 0.062 (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilities is and each probability is (6) Graph the discrete...
(6 points) The continuous random variable X has cumulative distribution function given by 0 for0 for 0 < z < 2 for 2 F(z) = 〈 z-4z2 Part(a) Find Var(X), correct to 2 decimal places. Part(b) Find E(X) correct to 2 decimal places. Part(c) Find P(X>) Give your answer as a decimal, correct to 2 decimal places. Part(d) Find E(X), correct to 2 decimal places. Part(e) Find the value of c correct to one decimal place given that E(Xc) 4E(X-c...
(25 pts) Determine the expectation, variance, standard deviation, and cumulative distribution function (c.d.f.) for each of the following: 0 f(x)0.44 0.360.150.04 0.01 (b) f(x) = f for x = 1, 2, 3, 4 (c) f(x)-345 for1,2,4,5 d) A random variable that represents the outcome of rolling one (fair) die. (e) A random variable that represents the outcome of rolling two (fair) dice.
Show work. Thanks 2.5.6. The probability density function of a random variable X is given by に " f(x) =10, 0, otherwise (a) Find c. (b) Find the distribution function F(x) (c) Compute P 3)
Determine the expectation, variance, standard deviation, and cumulative distribution function (c.d.f.) for each of the following: (a) x 0 1 2 3 4 f(x) 0.44 0.36 0.15 0.04 0.01 (b) f(x) = x 10 for x = 1, 2, 3, 4 (c) f(x) = 2 5x2−30x+45 for x = 1, 2, 4, 5 (d) A random variable that represents the outcome of rolling one (fair) die. (e) A random variable that represents the outcome of rolling two (fair) dice.