A triangular prism on top of a rectangular prism. The rectangular prism has a length of 2, width of 2, and height of 2. The triangular prism has rectangular sides that are 5 by 2.8, 5 by 2, and 5 by 2. The 2 triangular sides have a base of 2 and height of 2. The face that is shared with the rectangular prism is . The area of each base of the rectangular prism is square units. The lateral area (excluding the shared face) for the rectangular prism is square units. The total surface area of the composite figure will be square units.

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Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Use the drop-down menus to complete the statements to match the information shown by the graph.