sro03
  • sro03
Let X be normal with mean 50 and variance 9. Determine c such that P(50-c
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
how do you determine a z score?
mathmale
  • mathmale
We need to find c such that P(50-c
mathmale
  • mathmale
Please type in the formula for "z-score."

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More answers

sro03
  • sro03
the score for 50% isn't it 0 ?
amistre64
  • amistre64
a zscore relates the probability that some random variable X is a given distance from the mean using the standard deviation as its unit of measure. in order for the interval (50-c) to (50+c), to encompass 50% of the data points ... then (50-c)/sigma would have to have a z score related to 25% from the mean.
amistre64
  • amistre64
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amistre64
  • amistre64
by convenience of the information, the z score of a left tail would have to also be 25% so the question is, what do you possess that will allow you to determine that z score?
sro03
  • sro03
then the z score for 25% is -0.674
sro03
  • sro03
\[\phi(50+c)/3=25 => c=3*0.674=2.022\] it should give 2.022 and it does if i say 3*0.674 but what about 50 ?
amistre64
  • amistre64
\[z=\frac{x-\mu}{\sigma}\] \[\mu\pm z\sigma=x\] \[50\pm0.674(3)=x_1,x_2\]
amistre64
  • amistre64
looks like c = z\(\sigma\)

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