1. Some company is making the employees work overtime one day of the next week between Monday and Saturday, but one of the workers has a surprise party for his sons birthday next Friday, so if these extra hours are given randomly, what is the probability that this worker has to work overtime any day but Friday?
2. A problem in Mathematics is given to three students whose chances of solving it are 1/3, 1/4 and 1/5 (i) What is the probability that the problem is solved? (ii) What is the probability that exactly one of them will solve it?
3. Suppose that 5 prices will be riffled between 100 people. The group contains a subgroup of 7 friends. What are the odds that at least one of these 7 friends wins some of the prices?
4. Alaska license plates have two letters followed by three numbers. What is the probability that a randomly chosen license plate will has an NC with the number ending in a 3?

The data below represents the number of dollars (in Thousands) withdrawn per week in all the ATM machines at a Las Vegas Casino (for randomly selected weeks).

153, 104, 118, 166, 89, 104, 100, 79, 93, 96, 116, 94, 140, 84, 81, 96, 108, 111, 87, 126, 101, 111, 122, 108, and 126

1. Find all the quartiles and draw a whisker plot graph
2. Make a frequency distribution using 5 classes, include midpoint.
3. Find mean frequency distribution
4. Find variance and standard deviation
5. Suppose that the Casino manager put money in the ATM machine once per week. How much money should the Casino manager put in the ATM machines so that the machines don't runout of money 99.7% of the time?

In testing an automatic inspection device for detecting defective items an experiment was set up as follows: 1000 items, of which 100 were true defectives, were rent through the device.

The device indicated 105 of the items defective of which 90 were found to be true defectives. The items were then run through the device again. This time the device indicated 103 to be defective including 3 of the true defectives it missed before, 85 of the true defectives it caught before, and 4 of the items it falsely indicated to be defectives before.

1. Make a Venn diagram of the eight classes of items obtained in this experiment.
2. What is the probability that a randomly selected item was indicated as defectives at least once by the device?
3. If an item is truly defective, what would you estimate the probability to be then if you run through the device twice it will be cut at least once?
4. What is the probability that a good item would be indicated as defective only once after going through the device twice?