(d) Find and interpret the probability that a randomly selected fertilized egg hatches between 17 and 21 days. The probability that a randomly selected fertilized egg hatches between 17 and 21 days is (Round to four decimal places as needed.)
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To find the probability that a randomly selected fertilized egg hatches between 17 and 21 days, you need to consider the distribution of hatching times in general. If the hatching times follow a normal distribution, you can use the mean and standard deviation to calculate the z-scores for 17 and 21 days and then find the corresponding probabilities using a standard normal distribution table or software. Generally, this methodology allows us to apply the empirical rule which states that about 68% of values lie within one standard deviation of the mean. Once you compute the z-scores and look up the probabilities, you then subtract the cumulative probability of hatching by day 17 from the cumulative probability of hatching by day 21 to find the probability of hatching within that range. This will give you the answer rounded to four decimal places.