Question

a) Find the probability of an individual being more extreme than 3.2 standard deviation from the mean.

b) Is this unusual?
Select an answer Not unusual because the probability is high unusual because the probability is low unusual because the probability is high not unusual because the probability is low

Answer 1

a) The probability of an individual being more extreme than Z = 3.2 standard deviation from the mean is calculated using the Z score that is given in the Z table shown below.

One thing must be noted that the Z table gives the value of probability from the left of the table hence the probability for Z>3.2 is 1-0.9993 = 0.0007

b) Yes, this is unusual because the probability of happening that even is very low which is 0.0007