7. Let A(4,3) and B(7,11) be two points in a plane.
If all paths are equally likely, what would be the probability of choosing a path that begins with an up move and ends with an up move? (Each path is made up of moves that either go up one unit or over one unit to the right.)

8. In a state lottery game, anyone who picks 6 numbers out of 36 wins $50,000, no matter how many people correctly guessed the winning numbers. What are the odds of winning in this game?

HINT:
You are picking 6 numbers from 36. No order is specified and you cannot pick the same number twice.

9. The first three characters of a car license plate number are letter characters.
Car license plates can have repeats. For a), remember that the combination "AA" is possible.

a) Whatâ??s the probability of the first three characters being BAZ?
b) Whatâ??s the probability of the second character being K?
c) Whatâ??s the probability that the first character is either A, B, or C?

Solution Preview

7. The total number of possibilities is 11 combined three at a time or 165 and there are 9 of them that move up at the beginning and at the end. So the odds are 9:156 or 3:52.
There has to be eleven total moves, 3 going up and 8 going right. So think of it as 11 blanks and you are trying to figure out where the 3 'ups' ...

The Complaints Department of a popular used car dealer receives most complaints about the electrical system, particularly the starter. The department sent questionnaires to 300 owners of two-year-old, used, full-sized vehicles. The survey showed 15% of the owners had trouble with the starter. Based on the result of the survey, w

A professor grades homework by randomly choosing 5 out of 12 homework problems to grade.
a) How many different groups of 5 are there from the 12 problems?
b) Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?
c) Silvia did 7 pro

The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports they can resolve customer problems the same day they are reported in 70 percent of the cases. Suppose the 15 cases reported today are
representative of all complaints.
a. How many of the problems would

An automobile dealer sells two brands of new cars. One, C, is primarily American in original; the other, G, is primarily Japanese. The dealer performs repair work under warranty for both brands. Each warranty job is classified according to the primary problem to be fixed. If there is more is more than one problem in a given job,

1) Find the probability (type answer as an integer or simplified fraction) of a couple having a baby boy when their fifth child is born, given that the first four children were all boys. Assume boys and girls equally likely. Is the result the same as the probability of getting all boys among five children?
2) When designing

Please help with the following problems.
The manager of the local Tim Horton's found that 60% of her employees call in sick on Fridays before the long weekend. Out of a sample of ten employees, what is the probability that:
A) exactly three employees will call in sick
B) not more than one employee will call in sick.
C)

What are the steps for using the Normal Table to find the following:
a. The Probability steps for (z<-2.65)
b. The Probability (z>-1.55)
c. The Probability (-2.00Probability (1.25

I need help with some practice problems that were given to us, to help prepare for a quiz next week. Please provide detailed steps as to how you came by your answer (include any notes, calculations, or anything that may be pertinent to the solution).
As always, your help would be greatly appreciated!
Thanks,
E