Question 362457
1).a set of 50 data values has a mean of 40 and a variance of 25. 
a). Find the standard score (z) for a data value = 47.
z(47) = (47-40)/25 = 0.28 
b). Find the probability of a data value > 47.
P(x> 47) = P(z > 0.28) = 0.3897
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(2). Find the area under the standard normal curve: 
I. to the right of z = 1.83
P(z > 1.83) = 0.0336
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II. to the left of z = 1.83
P(z < 1.83) = 1-0.0336 = 0.9664
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Cheers,
Stan H.