Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 19. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places. (a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normal random variable. Find the value of a. Answer: 2.632
Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 19. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places. (a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normal random variable. Find the value of a. Answer: 2.632
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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should my answer be 2.632 or -2.632?

Transcribed Image Text:Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have
mean 60 and standard deviation 19. The lecturer is teaching two classes, one of size 100 and the
other one of size 36, and is about to give an exam to both classes. We treat all students as being
independent. Give your answers below in three decimal places.
(a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a),
where is the cumulative distribution function of a standard normal random variable. Find the
value of a.
Answer: 2.632
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