An airport screens bags for Forbidden Items (FI), and an alarm is supposed to be triggered when a FI is detected. Suppose that 5% of bags contain FI. If a bag contains a FI, there is a 98% chance that it triggers

the alarm. If a bag doesn't contain a FI, there is an 8% chance that it triggers the alarm.

How do you solve a question like this?

Cor d? ? me ? max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Find the solution of each of the following.