大家好，英文好和数学好的朋友们进来帮我一下，特别是统计学好的朋友们。我选了统计学，请帮我做下面的题，要求过程，THXChebyshev's Inequality and the Empirical Rule. Suppose that a random sample of 200 light bulbs has a mean life of 600 hours and a standdard deviation of 53 hours.(1) A histogram of the data indicat
2019-05-22
大家好，英文好和数学好的朋友们进来帮我一下，特别是统计学好的朋友们。
我选了统计学，请帮我做下面的题，要求过程，THX
Chebyshev's Inequality and the Empirical Rule.
Suppose that a random sample of 200 light bulbs has a mean life of 600 hours and a standdard deviation of 53 hours.
(1) A histogram of the data indicates the sample data follow a bell-shaped distribution. According to the Empirical Rule, 99.7% of light bulbs have lifetimes between___and___hours.
(2) Assuming the data are bell shaped, determine the percentage of light bulbs that will have a life between 494 and 706 hours?
(3) Assuming the data are bell shaped, what percentage of light bulbs will last between 547 and 706 hours?
(4) If the company that manufactures the light bulb guarantees to replace any bulb that does not last at least 441 hours, what percentage of light bulbs can the firm expect to have to replac, according to the Empirical Rule?
(5) Use Chebyshev's Inequality to determine the minimum percentage of light bulbs with a life within 2.5 standard deviations of the mean.