anonymous
  • anonymous
the life expectancy of a typical light bulb is normally distributed with a mean of 2000 hours and a standard deviaton of 27 hours. what is the probability that a lightbulb will last between 1975 and 2050 hours? a.)0.17619 b.)0.32381 c.)0.79165 d.)0.96784
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Vocaloid
  • Vocaloid
convert 1975 and 2050 to z-scores using the formula z-score = (given number - mean)/standard deviation then use a z-table or a calculator (normalcdf(z-score1,z-score2) to find the probability
anonymous
  • anonymous
Idk what that is
anonymous
  • anonymous
A z-table I mean

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Vocaloid
  • Vocaloid
http://4.bp.blogspot.com/_5u1UHojRiJk/TEh9BHxxPUI/AAAAAAAAAIQ/DafeQNMYFoE/s1600/ztable.gif
anonymous
  • anonymous
Okay.. how would I find the z-scores?
Vocaloid
  • Vocaloid
use the formula I just gave you
anonymous
  • anonymous
Would the answer be 0.96784
Vocaloid
  • Vocaloid
hm, not quite, can you tell me where you got your answer?
anonymous
  • anonymous
I'm a little confused on how to do this all. The two answers I got were -.925925926 and 1.851851852
Vocaloid
  • Vocaloid
your numbers are right, you're just not done yet 1. find the probability that corresponds to -.925925926 using the z-table 2. find the probability that corresponds to 1.851851852 using the z-table take the result from part 2 and subtract the result from part 1
anonymous
  • anonymous
I got .925925926
Vocaloid
  • Vocaloid
uh, not quite use the z-table to find the probability that corresponds to -.925925926
Vocaloid
  • Vocaloid
actually, do you have a graphing calculator with you?
anonymous
  • anonymous
No I don't
Vocaloid
  • Vocaloid
alright, so for the z-score -.925925926 we're going to round to -0.93, and use this z-table to find the probability https://www.bing.com/images/search?q=negative+z+table&view=detailv2&&&id=0EE0897D340872D7DD333EA703C06E1FAFE3D682&selectedIndex=0&ccid=UAu%2f5RDN&simid=608005827397226440&thid=JN.QiHVxQ5sExJprxixifrppg&ajaxhist=0 look at the left column and find the row -0.9, then go across to the column 0.03 and tell me what number is in the box
Vocaloid
  • Vocaloid
|dw:1433555811431:dw|
anonymous
  • anonymous
.1762 so it's the first answer. Thank you :)
anonymous
  • anonymous
It was C.
Vocaloid
  • Vocaloid
ahh sorry for the late reply you're supposed to do the same thing we just did for 1.851851852 and subtract the two values

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