Heights of 10 year-olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Fill in the blanks with your answers rounded to 2 decimal places. What is the probability that a randomly chosen 10 year-old is shorter than 49 inches? What is the probability that a randomly chosen 10 year-old is between 58 and 65 inches? If the tallest 10% of 10 year-olds is considered "very tall" what is the minimum height to be considered "very tall"? The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What percent of 10 year-olds can go on this ride?
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!
Heights of 10 year-olds, regardless of gender, closely follow a
What is the probability that a randomly chosen 10 year-old is shorter than 49 inches?
What is the probability that a randomly chosen 10 year-old is between 58 and 65 inches?
If the tallest 10% of 10 year-olds is considered "very tall" what is the minimum height to be considered "very tall"?
The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What percent of 10 year-olds can go on this ride?
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