Question: A random variable, X, is from an approximately Normal distribution with a mean of (Your Birthday Month) and a standard deviation of (Your Birth Date,

A random variable, X, is from an approximately Normal distribution with a mean of (Your Birthday Month) and a standard deviation of (Your Birth Date, written as decimal in tenths). For example, if my birthday is January 17, the mean of my data set is 1 (for January) and the standard deviation is 1.7. If my birthday is October 3, the mean of my data set is 10 (October) and the standard deviation is 0.3.

Birthday is October 9th

Z=(6-10)/0.9

z= -4.44

My z-score states that the data value of 6 is above the mean. Any other value whether positive or negative would show that the data value is a certain amount of deviations away from the mean. Meaning the data value is -4.44 above my mean.

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Use the invNorm command to find the 35^thpercentile using a classmate's mean and standard deviation. Explain the TI Commands and the meaning of your numerical answer.

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