IQ is normally distributed with a mean of 100 and a standard deviation of 15. Use the Cumulative Z-Score Table to answer the questions below.Hint • Suppose one individual is randomly chosen. Find the probability that this person has an 1Q greater than 137.5. Write your answer in percent form with two decimal places. P(1Q greater than 137.5) - Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 98,5. Write your answer in percent form with two decimal places. P(IQ less than 98.5) - In a sample of 600 people, how many people would have an IQ less than 68.5? Round your answer to the nearest whole number. реople • In a sample of 600 people, how many people would have an 1Q greater than 100.75? Round your answer to the nearest whole number, people
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!
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