Question

What is the area under the standard normal curve that lies between `Z=0` and `Z=1.51`?

Answer 1

Area under the standard normal curve that lies between `Z=0.00` and `Z=1.51` is `0.4345`

Explanation:

Z-score is expressed in terms of standard deviation from their means. These z-scores have a distribution with a mean of `0` and a standard deviation of `1`.

When we talk of area under standard normal curve that lies between `Z=0` and `Z=1.51`, it is the likelihood or probability that a bunch of data will fall between mean say `mu` (as `Z=0`) and `mu+1.51sigma` (as `Z=1.51`), if the distribution is normal. Graphically this may be seen from image below, where the shaded region shows this probability. The complete area under the curve is `1` unit and one can use tables or MSExcel to find this area. In the instant case it is `0.4345`

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