anonymous
  • anonymous
Help with some normal distribution problems?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. What is the probability that a student will finish the test in less than 70 minutes?
sloppycanada
  • sloppycanada
Do you have a normal distribution chart in front of you?
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anonymous
  • anonymous
yes

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sloppycanada
  • sloppycanada
So 60 is going to be that center little bit, excuse my terrible drawing. |dw:1435375646432:dw|
sloppycanada
  • sloppycanada
A standard deviations is another line. Like this (but your graph is neater). Since each of the standard deviations is 10, All you care about is The line right after the mean and before. |dw:1435375698631:dw|
anonymous
  • anonymous
So what's the probability that it will be less that 70 minutes
sloppycanada
  • sloppycanada
Add all those percentages from 70% to 0.
anonymous
  • anonymous
I got 69.1% is the correct?
sloppycanada
  • sloppycanada
I got 69.2
anonymous
  • anonymous
2. The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes What is the probability that a student will finish the test between 50 and 60 minutes?
sloppycanada
  • sloppycanada
Same thing, So the standard deviation is 10. And you're looking at just between 50-60. your answer is the question mark. |dw:1435376877515:dw|
anonymous
  • anonymous
Is the answer 34.1?
sloppycanada
  • sloppycanada
Yes!
anonymous
  • anonymous
The time required to finish a test is normally distributed with a mean of 60 minutes ad a standard deviation of 10 minutes. What is the Z-score for a student who finishes the test in 45 minutes?
sloppycanada
  • sloppycanada
|dw:1435378336477:dw|
anonymous
  • anonymous
I got -3/2 is the correct?
sloppycanada
  • sloppycanada
Yeah, that's right.

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