Use the following to answer questions (a)-(c): The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 420 and a standard deviation of 32. a. The probability that the score of a randomly selected examinee is between 400 and 480, rounded to four decimal places, is: b. The probability that the score of a randomly selected examinee is less than 370, rounded to four decimal places, is: c. The probability that the score of a randomly selected examinee is more than 530, rounded to four decimal places, 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!
Use the following to answer questions (a)-(c):
The GMAT scores of all examinees who took that test this year produce a distribution that is
approximately normal with a mean of 420 and a standard deviation of 32.
a. The
rounded to four decimal places, is:
b. The probability that the score of a randomly selected examinee is less than 370, rounded
to four decimal places, is:
c. The probability that the score of a randomly selected examinee is more than 530, rounded
to four decimal places, is:
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