Recent content by nbalderaz

a man drives to work along a route with one traffic light. He drives on a major road, so the light is green three times as long as it is red: specifically, it is green for 45 seconds and red for 15 seconds(ignore yellow). Assume he approaches the light at a random time. A) Find the...

THe Laplace random variable has a PDF that is a double exponential, fT(t)=ae^(-|t|/2) for all values of t and a, a constant to be determined. A) Find a (Answer 1/4) B)Find the expected value of T, given T is greater than or equal to -1. (Answer 1.31)

In a series of three binomial trials with p=.4, a random variable, X, is assigned to the outcomes to form a base 2 number, with 1 associated with success(S), and 0 associated with failure(F). For example, SFS->101=5. A) Find the expected value of X, E[X]. (Answer 2.80) B) Find the...

K people independently toss a coin n times. What is the probability that all K of them get the same number of heads? (1) Find a formula for the probability in terms of K and n. (2) Evaluate the probability for K = {5, 10, 20} and n = {4, 8, 16}