Answer:
The events rain and Shameel missing his flight are not independent events.
Step-by-step explanation:
Independent events are those events that are not affected by the occurrence (or no occurrence) of other events. These events do not affect the probability of another even taking place.
For example, the events of winning a lottery and being late for work are independent.
If events <em>A</em> and <em>B</em> are independent then:
And the conditional probability of <em>B</em> given <em>A</em> is:
Denote the events as follows:
<em>X</em> = Shameel misses his flight
<em>Y</em> = it rains on Monday morning.
The information provided are:
The law of total probability states that:
Use this law to compute the probability of <em>X</em> as follows:
If the events <em>X</em> and <em>Y</em> are independent then,
But the value of P (X) is 0.033.
That is, .
Thus, the events rain and Shameel missing his flight are not independent events.