Exercise 3.44. Choose a point uniformly at random in that half of the unit disk that is to the right of the y-axis. In other words, choose a point uniformly at random from the set {(x, y) : x > 0,x2 +y2 < 1}. Let S be the slope of the line through the chosen point and the origin. (a) Find the cumulative distribution function of S. (b) Find the probability density function of S.

Mercury poisoning is dangerous overload of mercury within the body. a major source of mercury within the body, a major source of mercury poisoning is consuming fish that contain mercury. certain fish are more prone to having higher levels of mercury than others. the pie chart shows the distribution of four breeds of fish at a hatchery. the hatchery has approximately 6,000 fish. a biologist from the centers for disease control and prevention randomly test 5% of each breed of fish for mercury content. her findings are shown in the following table. based on the biologist's findings, if a single salmon is randomly selected from those that were tested, what is the probability that this particular fish would have a dangerous mercury level? a) 0.001 b) 0.004 c) 0.02 d) 0.08

Name each raycalculation tip: in ray "ab", a is the endpoint of the ray.

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3