We are throwing darts at a disk (i.e. a filled in circle) shaped board of radius 5. We assume that the position of the dart is a uniformly chosen point in the disk. The board has a disk shaped bullseye with radius 1. Suppose that we throw a dart 1700 times at the board. Estimate the probability that we hit the bullseye at least 76 times.

Plot the appraisal price in dollars that can be paid for combined lease bonus and speculative drilling cost using the following risk: 1,5, and 10 %. The prospect is a 80- acre tract, pay thickness is 100 ft. The probability of dry hole is set at 50%. If the well is successful, recovery in bbls per acre-ft may be as low as 100 to as high as 200, with most probable recovery being 150 bbl/acre-ft. Operating profit may be taken as $ 3 per barrel. Completion costs for a successful well will exceed the cost of a dry well by $40,000. Assume the exploration budget is 0, 3, 6 and 10 MM dollars

The height of male students in the school is assumed to be normally distributed. 18% of the students haveheight more than 180 cm and 9% of them have height less than 160 cm. Find µ and σ.

A standard die is rolled. Find the probability that the number rolled is greater than 6.

A para-glider wants to land in a field that is square shaped 400 feet on each side. However, there are four briar patches planted at each corner of the field. Each briar patch takes up a region roughly shaped like a quarter circle 40 feet in diameter. If the glider loses control and hits the field randomly, what is the probability that he misses the briar patches?