Question

From the Gaussian (normal) error curve, what is the probability that a result from a population lies between 0 and +1σ of the mean?

Answer 1

Answer:

0.3413

Step-by-step explanation:

We know that in Gaussian (normal) curve, to find probability we can use standard normal distribution table.

Here X is normal and we have to find the probability such that the population lies between 0 and sigma

i.e. this probability equal to the area to right of 0 and to the right of 1

From std normal distribution table we find that this area $=0.3413$

Hence required prob $= 0.3413$

Answer 2

The probability that a result from a population lies between 0 and +1σ of the mean is P = 34% = 0.34

The normal curve

In the Gaussian (normal) error curve, to find the probability that a result from a population lies between 0 and +1σ of the mean.

We know that σ = standard deviation and we know in that the Gaussian (normal) error curve, 34% of the values lies between 0 and +1σ of the mean.

So, the probability that a result from a population lies between 0 and +1σ of the mean is P = 34% = 0.34

Learn more about normal curve probability here:

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