The following data are based on information taken from the Statistical Abstract of the United States (112th Edition). In this table, * =
of family. The percentage data are the percentages of U. S. families of this size
5
6
4
7 or more
2
3
10%
3%
21%
1%
%
42%
23%
(a) Convert the percentage data to probabilities and make a histogram of the prok
ability distribution for family size.
(b) What is the probability that a family selected at random will have only me
members?
(c) What is the probability that a family selected at random will have more the
three members?
(d) Compute H, the expected family size (round families of size 7 or more to size
(e) Compute o, the standard deviation (round families of size 7 or more to size 7

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Identify the number 127 as a rational or irrational. explain

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.