Given that z has a standard normal distribution calculate th

Given that z has a standard normal distribution calculate the probability that z lies within 1 standard deviations of the mean z lies more than 3 standard deviation from the mean. Use Cumulative probability table. P (z lies within 1 standard deviations of the mean) P(z lies more than 3 standard deviations from the mean)

Solution

a) P( z lies within 1 standard deviations of the mean) = 0.6826

b) P( z lies more than 3 standard deviations from the mean) = 0.0027