An average light bulb manufactured by the Acme Corporation lasts 300, statistics assignment help

An average light bulb manufactured by the Acme Corporation lasts 300, statistics assignment help

Unit 4 Lesson 2 Assignment

1) An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation of 50 days. Assuming that bulb life is normally distributed, what is the probability that an Acme light bulb will last at most 365 days?

2) Suppose scores of an IQ test are normally distributed. If the test has a mean of 100 and a standard deviation of 10

. a) What is the probability that a person who takes the test will score between 90 and 110?

b) What is the probability that a person who takes the test will score between 85 and 125?

3) Molly earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Molly? (Assume that test scores are normally distributed)

4) Graduate Management Aptitude Test (GMAT) scores are widely used by a graduate schools of business as an entrance requirement. Suppose that in one particular year, the mean score for the GMAT was 476, with a standard deviation of 107. Assuming that the GMAT scores are normally distributed, what is the probability that a randomly selected score from this GMAT falls between 476 and 650?

5) The final exam scores in a statistics class were normally distributed with a mean of 63 and a standard deviation of 5. Find the probability that a randomly selected student scored more than 65 on the exam.

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