Assume that Z is a number randomly chosen from a standard no

Assume that Z is a number randomly chosen from a standard normal distribution. Use the probability distribution calculator to calculate each of the following probabilities: report your results using three significant digits -- write them as well as showing the calculator image..

a. Pr[Z>0.24]

b. Pr[Z<0.24]

c.Pr[Z>2.01]

d. Pr[Z<1.02]

e. Pr[0.60<Z<1.4]

f. Pr[-2<Z<2]

g. Pr[Z<0.45]

h. Pr[-0.2<Z<0.37]

Solution

a. Pr[Z>0.24] =0.405 (from standard normal table)

b. Pr[Z<0.24] =0.595

c.Pr[Z>2.01] = 0.022

d. Pr[Z<1.02] = 0.846

e. Pr[0.60<Z<1.4] = 0.193

f. Pr[-2<Z<2] = 0.954

g. Pr[Z<0.45] = 0.674

h. Pr[-0.2<Z<0.37] = 0.224