Question 2 – Normal Distribution The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 20 minutes. Answer the following questions: a. What is the probability of completing the exam in 120 minutes or less? b. What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? c. What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes?
Question 2 – Normal Distribution The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 20 minutes. Answer the following questions: a. What is the probability of completing the exam in 120 minutes or less? b. What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? c. What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes?
Question 2 – Normal Distribution The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 20 minutes. Answer the following questions: a. What is the probability of completing the exam in 120 minutes or less? b. What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? c. What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes?
Question 2 – Normal Distribution The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 20 minutes. Answer the following questions: a. What is the probability of completing the exam in 120 minutes or less? b. What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? c. What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes? d. Assume that the class has 120 students and that the examination period is 180 minutes in length. How many students do you expect will be unable to complete the examination in the allotted time?
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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