. (From Homework #5) On average there are 22 imperfections in 100 meters of optical cable. The imperfections can be modeled using the Poisson distribution. a) What is the expected length of cable between imperfections? b) The application from homework #5 required a 25-meter length of cable. What is the probability that the length until the next imperfection will be more than 25 meters?

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

What is the ratio of the length of an object in yards to the length of the same object in miles?