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Published byGervais Robertson Modified over 9 years ago
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Take two dice. Roll them together 40 times and record the sums that you got. Draw a histogram of your 40 points. Ms. Morton will generate 50 random numbers between 1 and 20. Draw a histogram of these 50 data points with bin size 2.
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Honors Advanced Algebra Presentation 1-8
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Central Limit Theorem - The CLT allows us to use normal calculations to determine probabilities about sample proportions and sample means obtained from populations that are not normally distributed.
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The time that an A/C technician requires to perform maintenance on an A/C unit is an exponential decay distribution. The mean time is μ = 1 hour and the standard deviation is σ = 1 hour. Your company has a contract to maintain 70 of these units in an apartment building. Is it safe to budget 1.1 hours for each unit or should you budget an average of 1.25 hours?
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In response to the increasing weight of airline passengers, the FAA in 2003 told airlines to assume that passengers average 190 pounds in the summer, including clothes and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 20 passengers. Can you calculate the probability that the total weight of the passengers on the flight exceeds 4000 pounds?
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