Newborn Elephant Weights Newborn elephant calves usually weigh between 200 and 250 pounds—until October 2006 , when an Asian elephant at the Houston (Texas) Zoo gave birth to a male calf weighing in at a whopping 375 pounds! Mack (like the truck) is believed to be the heaviest elephant calf ever born at a facility accredited by the Association of Zoos and Aquariums. If, indeed, the mean weight for newborn elephant calves is 225 pounds with a standard deviation of 45 pounds, what is the probability of a newborn weighing at least 375 pounds? Assume that weights of newborn elephants are normally distributed. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. The probability of a newborn elephant calf weighing at least 375 pounds is .??
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!
Newborn Elephant Weights Newborn elephant calves usually weigh between
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The probability of a newborn elephant calf weighing at least
375
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