anonymous
  • anonymous
PLEASE HELPPPPPPPPPPP A set of 750 data points are normally distributed with a mean of 500 and a standard deviation of 35. a) What is the probability that a value will be between 430 and 500? b) What is the probability that a value will be above 535? c)How many data points have values between 465 and 500?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
kropot72
  • kropot72
Do you understand the normal distribution curve in your attachment?
anonymous
  • anonymous
Not really

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kropot72
  • kropot72
The mean is shown by the central ordinate labelled 0 on the horizontal axis. The position of points spaced various numbers of standard deviations from the mean is represented by the ordinates labelled 1, -1; 2, -2 and 3, -3 on the horizontal axis. If you look at the central ordinate ( labelled 0) and the first ordinate to the left of it (labelled -1) you will see that 34% of the data points under the curve lie between the mean and -1 standard deviation from the mean. If you look at the ordinates labelled -1 and -2 you will see that 13.5% of the data points lie between -1 and -2 standard deviations from the mean. Therefore the number of data points between the mean and -2 standard deviations from the mean = 34 + 13.5 = 47.5% of the total data points. Do you follow so far?
anonymous
  • anonymous
Yes i do follow !! Thanks for breaking it down
kropot72
  • kropot72
Good! Looking at part a) of your question, 430 lies 2 standard deviations below the mean. Therefore the probability that a value will be between 430 and 500 is 47.5% or 0.475.

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