Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C:
If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.
If we have
(X is following normal distribution with mean and standard deviation
)
then it can be converted to standard normal distribution as
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
Also, know that if we look for Z = z in z tables, the p-value we get is
Using the z-table, we get the needed probabilities as:
Case 1:
Case 2:
Case 3:
Case 4:
Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C:
Learn more about z-scores here: