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Probability that her mean completion time

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From long term experience it is known that the time required to answer a set of 10 computer managed questions in the Data Analysis course follows a normal distribution with mean = 15 minutes and standard deviation = 2 minutes. If a randomly chosen off campus student answers a test of 10 computer managed questions, answer the following questions

a. What is the probability that she would complete the test in less than 14 minutes?

b. What is the probability that she would complete the test between 15 and 19 minutes?

c. Determine her completion time so that only 10% of the students doing the test will take longer than her?

d. For a set of 5 randomly selected tests (each with 10 questions), what is the probability that her mean completion time will be 14 minutes or more?

Reference no: EM13944339

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