Burlingham mills produces denim cloth that it sells to jeans manufacturers. it is negotiating a contract with troy clothing company to provide denim cloth on a weekly basis. burlingham has established its monthly available production capacity for this contract to be between 0 and 600 yards, according to the following probability distribution: f(x)= x/180,000 , 0≤x≤600 (yd)troy clothing's weekly demand for denim cloth varies according to the following probability distribution: demamd probability 0 0.03 100 0.12 200 0.20 300 0.35 400 0.20 500 0.10 1.00simulate troy clothing's cloth orders for 20 weeks and determine the average weekly capacity and demand. also determine the probability that burlingham will have sufficient capacity to meet demand.

How many grams are in 8 kilograms? if 100 grams = 1 kilogram

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x

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?