Math Board Questions Unit V

I have to comment on my classmate’s board question and this is what he wrote

a. 256 ways

b. 512 minutes

c. Another example is a lottery, in which there are 5 numbers chosen out of a pool of numbers 1-80. This is done by multiplying 80x79x78x77x76 = 2,884,801,920 variations

the question to his answer came from this board question

• A computer interface for a Kawai digital studio piano has eight microswitches that can be set in either the "on" or "off" position. These switches must be set properly for the interface to work. In how many different ways can this group of switches be set?
• If it takes two minutes to set the switches and test to see if the interface is working properly, what is the longest possible time that it would take to find the proper settings by trial and error?
• What are some other real-world examples that you can develop that are similar to the ones above?

Discussion Board Question Unit VI

Cystic fibrosis is a serious inherited lung disorder that often causes death in victims during early childhood. Because the gene for this disease is recessive, two apparently healthy adults called carriers can have a child with the disease. We will denote the normal gene by Nand the cystic fibrosis gene by c to indicate its recessive nature.

• Construct a Punnett square (see Example 7, page 652) to describe the genetic possibilities for a child whose two parents are carriers of cystic fibrosis.
• What is the probability that this child will have the disease, be a carrier, or be normal?