6) Assuming a Gaussian probability distribution answer the following questions (

Question

6) Assuming a Gaussian probability distribution answer the following questions (Use Tables in Taylor Appendix A and/or B): a) What is the probability of a value lying more than 1.5 from the mean? b) 1.5 above the mean? 1.5 below the mean? What is the probability of a value lying c) What is the probability of a value lying d) What is the probability of a value, y, lying in the range - e) What is the probability of a value, y, lying in the range + y ys 20? 20? For this problem u is the mean of the Gaussian and is its standard deviation.

Explanation / Answer

here from standard normal distribution

a)

probability =P(Z>1.5 ) =0.0668

b) P(Z>=1.5)=P(Z>1.5)=0.0668

c) P(Z<=1.5)=P(Z<1.5) =1-0.0668=0.9332

d)

P(-1<Z<2) =0.9772-0.1586 =0.8186

e) P(1<Z<2 )=0.9772-0.8413 =0.1359

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