How can I find the following probabilities for my statistics project?

I'm having a hard time figuring out exactly how to calculate the P(xbar%26lt;(1.17s above the mean) for a sample distribution with a mean (mu) of 14.49 and a standard deviation (sigma) of 4.641943. I know that I will have to use a z score to calculate the area under the curve, but confirmation of my answers would make me feel much better. Thanks in advance!

How can I find the following probabilities for my statistics project?
The question is somewhat confusing.


1) xbar is another symbol for mean.


2) If 1.17s is standing for 1.17 standard deviations above the mean then this is already a z score.





P(z %26lt; 1.17) = 0.879





If I have misunderstood you then use


z = (x - mean)/s.d

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