SOLUTION: suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 57 hours and a standard deviation 3.3 of hours. with this​ information, answer

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Question 1169990: suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 57 hours and a standard deviation 3.3 of hours. with this​ information, answer the following questions. ​
(a) what proportion of light bulbs will last more than 60 ​hours? ​
(b) what proportion of light bulbs will last 51 hours or​ less?
​(c) what proportion of light bulbs will last between 57 and 61 ​hours? ​
(d) what is the probability that a randomly selected light bulb lasts less than 45 ​hours?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
the first will be z > 3/3.3 or z > 0.909 . That probability is 0.1817
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the second will be z < -6/3.3 and that probability is 0.0345
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the third is 0.3873. Calculator 2ndVARS 2 normalcdf(57,61,57,3.3)ENTER
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the last is z < -12/3.3 and probability is 0.0001