(1 point) Let A, B, and C be independent random variables, uniformly distributed over [0,4], [O,7],...
Let A, B, and C be independent random variables, uniformly distributed over [0,6], [0,7], and [0,11] respectively. What is the probability that both roots of the equation Ax2+Bx+C=0 are real?
Let A, B, and C be independent random variables, uniformly distributed over [0,9], [0,2], and [0,3] respectively. What is the probability that both roots of the equation Ax^2+Bx+C=0 are real?
Let ?, ?, and ? be independent random variables, uniformly distributed over [0,5], [0,1], and [0,2] respectively. What is the probability that both roots of the equation ??^2+??+?=0 are real?
1 point) If a is uniformly distributed over [−27,23], what is the probability that the roots of the equation x2+ax+a+80=0 are both real? (1 point) If a is uniformly distributed over [-27, 23), what is the probability that the roots of the equation r+ ax + a + 80 = 0 are both real?
Let Y_(1) and Y_(2) be independent and uniformly distributed random variables over the interval (0,1). Find P(2 Y_(1)<Y_(2)).
Problem 7. Let U1,U2,... be independent random variables all uniformly distributed on the unit interval, and let N be the first integer n 2 2 such that Un > Un-1. Show that for each real number 0<u < 1 !-un . 1- e-". (a) P(Ui-u and N = n) = (b) PUI S u and N is even) Problem 7. Let U1,U2,... be independent random variables all uniformly distributed on the unit interval, and let N be the first integer...
Рroblem 5. Let X1. X2,.. be independent random variables that are uniformly distributed over [-1.1. Show that the sequence Yı , V2.... converges in probability to some limit, and ident ify the limit, for each of the following cases: (а) Ү, Хn/п. n
Let X and Y be independent random variables uniformly distributed on the interval [1,2]. What is the moment generating function of X + 2Y? Let X and Y be independent random variables uniformly distributed on the interval [1,2]. What is the moment generating function of X + 2Y?
1 & 2 pls Let U be a uniformly distributed random variable on [0, 1]. What is the probability that the equation x2 + 4-U、x + 1 = 0 has two distinct real roots x1 and x2? 1. 2. The probability that an electron is at a distance r from the center of the nucleus is: with R being a scale constant. a) Find the value of the constant C. b) Find the mean radius f. c) Find the standard...
Consider two independent random variables X1 and X2. (continuous) uniformly distributed over (0,1). Let Y by the maximum of the two random variables with cumulative distribution function Fy(y). Find Fy (y) where y=0.9. Show all work solution = 0.81