Sixty percent of the engines manufactured on an assembly line are defective. Suppose engines are randomly selected one at a time and tested. Given that the first two engines tested were defective, what is the probability that at least two more engines must be tested before the first nondefective is found?

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain

Solve 4 ln x=2ln25 a) x=5 b) x=25 c) x=625