1) Assume you sell custom computers online. You offer 5 choices of operating sys
ID: 3068976 • Letter: 1
Question
1) Assume you sell custom computers online. You offer 5 choices of operating systems, 5 choices of hard drive size, 4 choices of screen size, and 3 choices of graphics cards. In how many ways can a buyer order a computer? (5 points) 2) Assume you have the following lock on your bicycle. It has five numbers to set, each ranging from 0 to 9. If a thief wanted to steal your bike and he randomly dialed one of the possible combinations, what is the probability that it would open the lock? (10 points) The following circuit operates only if there is a path of functional devices from left to right. The probability that each device functions is shown in the graphic. Assume that devices fail independently. What is the probability that the circuit operates? (10 points) 3) 0.950.95 0.95 0.95_ 0.90 0.99 4) Let A be the event that a person has been to Yellowstone National Park and let B be the event that a person has been to Glacier National Park. Suppose that P(A) 0.11, P(B) 0.05 and the P(A UB) 0.12. a) Construct the Venn diagram. (8 points) b) Find PIA nBY (6 points) c) Circle all.of the following that represents the probability that the person has NOT BEEN to either Yellowstone or Glacier Park. (6 points) (A'n B) (AU B (An B)Explanation / Answer
1:
Operating systems can be chosed in 5 ways, hard drive in 5 ways, screen size in 4 ways and graphic cards in 3 ways so possible number of ways cutomer can buy computer is
5*5*4*3 = 300
2:
Each of the five digits of combinaiton lock can be filled in 10 ways so possible numebr of combinations is
10*10*10*10*10 = 100000
So probability of opening the lock is
1 /100000 = 0.00001
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