Weights of newborn babies in a particular city are normally distributed with a mean of 3380 g and a standard deviation of 475 g. A. A newborn weighing less than 2100 g is considered to be at risk because the mortality rate for this group is very low. If a hospital in the city has 500 births in a year, How many of those babies are in the "at-risk" category? B. If we redefine a baby to be at risk if his or her birth weight is in the lowest 3%, Find the weight that becomes the cutoff seperating at-risk babies from those who are not at risk. C. If 20 newborn babies are randomly selected as a sample in a study, Find the probability that their mean weight is between 3200 g and 3500 g.
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!
Weights of newborn babies in a particular city are
A. A newborn weighing less than 2100 g is considered to be at risk because the mortality rate for this group is very low. If a hospital in the city has 500 births in a year, How many of those babies are in the "at-risk" category?
B. If we redefine a baby to be at risk if his or her birth weight is in the lowest 3%, Find the weight that becomes the cutoff seperating at-risk babies from those who are not at risk.
C. If 20 newborn babies are randomly selected as a sample in a study, Find the
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