anonymous
  • anonymous
......
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jtvatsim
  • jtvatsim
Sorry, I'm trying to find a good graph, I was busy editing the picture to work with this problem. :)
jtvatsim
  • jtvatsim
Alright, this will require some explanation, but you can see the graph attached. This shows the diagram of a normal distribution. We will use this to solve the problem.
jtvatsim
  • jtvatsim
The white percentages show the number of people between standard deviations. For example, 34.1% of people are between 0 and 1 standard deviation (the weird \[\sigma\] symbol stands for standard deviation)

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jtvatsim
  • jtvatsim
The red percentages are the ones that we care about in this problem. They show the total percentages. So, for example, at +1 standard deviation 84% of people are to the left of that point.
jtvatsim
  • jtvatsim
From the question, we are told the following: mean = 12.89 standard deviation = 1.95 Marcus's score = 13.7 People who get certificates score better than 98% of people.
jtvatsim
  • jtvatsim
The reason this problem seems hard is because we can't tell if 13.7 is better than 98% of people. If we knew that 13.7 was better than 98%, then Marcus should get a certificate. However, if 13.7 is worse than 98%, then Marcus should not get a certificate. We need a way to turn the 98% into a score for us to compare.
jtvatsim
  • jtvatsim
Let me stop for a moment and give you a chance to ask any questions you have. You are probably still a little confused on the diagram I posted, but I'll explain how that comes in, in just a moment. The biggest thing is are you ok with the fact that we need to figure out what 98% actually means?
anonymous
  • anonymous
yes, i probably could
sohailiftikhar
  • sohailiftikhar
waite i'm looking the work of jv
anonymous
  • anonymous
yes, i probably could
sohailiftikhar
  • sohailiftikhar
so here we are given the situation that certificate will only give to the top 2% of those people who gave test .
sohailiftikhar
  • sohailiftikhar
so if marcus didnt receive a certificate that's means he is not in that top 2% people even he score well ..understand ?
sohailiftikhar
  • sohailiftikhar
we have to give a certificate only 2% people so we will take the top 2% means with higher score
sohailiftikhar
  • sohailiftikhar
no he didn't receive the certificate because he was not in the toppers list
sohailiftikhar
  • sohailiftikhar
this is given in statement . take a look that what they asked
sohailiftikhar
  • sohailiftikhar
yes
sohailiftikhar
  • sohailiftikhar
that's what i'm saying that he can't get enough score to get in 2% of ppl whos score is higher means toppers
sohailiftikhar
  • sohailiftikhar
ok here is a example there are 20 seats in the company and they said that only 20 ppl can get job but for the minimum job score is 33 out of 100
sohailiftikhar
  • sohailiftikhar
so one candidate scored 50 but he didn't get job ..why ?
sohailiftikhar
  • sohailiftikhar
yes
sohailiftikhar
  • sohailiftikhar
this what happened here ..they said they only give 2% of certificates and when they got filled marcus didn't get certificate because didn't get high score to be in that 2% of ppls
sohailiftikhar
  • sohailiftikhar
consider these 2% are those whos score is 20,21and so on so this is higher than marcus .. get it now ?
sohailiftikhar
  • sohailiftikhar
yes he didn't get the high score to beat the others
sohailiftikhar
  • sohailiftikhar
so ? i'm going now
sohailiftikhar
  • sohailiftikhar
it's simple you can say that there 2% of ppl who scored higher than marcus and we only have to give certificate of 2% ppl so he can't get certificate..
sohailiftikhar
  • sohailiftikhar
i mean i'm going to offline now

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