pachano

Solve the following system of equations:
 3x - 2y + 2z = 6
 7x - 3y + 2z = -1
 2x - 3y + 4z = 0 

A local market sells avocados. Suppose there are 64 for sale and, unknown to you, 24 of them are rotten. If you were to purchase 4 avocados, chosen randomly from those available, let X denote the number of the purchased avocados that are rotten. What is the distribution of X? What is the probability that none of those purchased are rotten?

1. A computer train arrives punctually at a station every thirty-five minutes. Each morning, a commuter named Andrew leaves his house and casually strolls to the train station. Assume that the time he arrives at the station is random and uniform. Let X be the amount of time, in minutes, that Andrew waits for the train.

(a)[2] What kind of distribution is associated with the waiting time X? Give a graph to describe the shape of the distribution of X.  

Find the 25th percentile of the distribution having pdf f(x)= |x|/4, where −2 <x < 2 and zero elsewhere.