The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Find the probability that a randomly selected fertilized egg hatches between 23 and 25 days. The probability that a randomly selected fertilized egg hatches between 23 and 25 days is .4772. Interpret this probability. if 100 fertilized eggs were randomly selected, 48 of them would be expected to hatch between 23 and 25 days. would it be unusual for an egg to hatch in less than 22 days? Why?
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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Interpret this probability.
if 100 fertilized eggs were randomly selected, 48 of them would be expected to hatch between 23 and 25 days.
would it be unusual for an egg to hatch in less than 22 days? Why?
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