The height h (in feet) above ground of a seat on a Ferris wheel at time t (in seconds) can be modeled by h(t) = 53 + 50 sin(t-). The wheel makes one revolution every 24 seconds. The ride begins when t = 0. (a) During the first 24 seconds of the ride, when will a person on the Ferris wheel be 53 feet above ground? (Enter your answers as a comma-separated list. (b) When will a person's seat be at the top of the Ferris wheel for the first time during the ride? t = For a ride that lasts 120 seconds, then how many times will a person's seat be at the top of the ride? times At what times? (Enter your answers as a comma-separated list.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Solve for Precalculus 1.
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