An experimental serum was injected into 500 guinea pigs. Initially, 150 of the guinea pigs had circular cells, 225 had elliptical cells, and 125 had irregular cells. After the serum was injected, all of the guinea pigs with circular cells were affected, 75 with elliptical cells were affected, and none of those with irregular cells were affected. Determine the empirical probability that a guinea pig with (a) circular cells, (b) elliptical cells, and (c) irregular cells will be affected by injection of serum. a) The empirical probability that a guinea pig with circular cells will be affected by injection of the serum is (Type an integer or a simplified fraction.) b) The empirical probability that a guinea pig with elliptical cells will be affected by injection of the serum is (Type an integer or a simplified fraction.) c) The empirical probability that a guinea pig with irregular cells will be affected by injection of the serum is. (Type an integer or a simplified fraction.)
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!
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