The mean weight for a newborn baby is 7.5 pounds. The standard deviation is 1.2 pounds. Newborn weights, like many bio-metrics, follow a normal distribution. What is the probability of randomly selecting a newborn whose weight is greaterthan 8.7 pounds? (hint: use the empirical rule) What is the probability of randomly selecting a newborn whose weight is below 5.5 pounds? Would you consider it unusual for a newborn to weigh less than 5 pounds? Whyor why not? What is the probability that a random sample of 9 babies have a mean weightgreater than 8.7 pounds?
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!
- The mean weight for a newborn baby is 7.5 pounds. The standard deviation is 1.2 pounds. Newborn weights, like many bio-metrics, follow a
normal distribution .- What is the
probability of randomly selecting a newborn whose weight is greaterthan 8.7 pounds? (hint: use theempirical rule ) - What is the probability of randomly selecting a newborn whose weight is below
- What is the
5.5 pounds?
- Would you consider it unusual for a newborn to weigh less than 5 pounds? Whyor why not?
- What is the probability that a random sample of 9 babies have a mean weightgreater than 8.7 pounds?
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