Shameel has a flight to catch on Monday morning.His father will give him a ride to the airport.If it rains,the traffic will be bad and the probability that he will miss his flight is 0.04.If it doesn't rain,the probability that he will miss his flight is 0.01.The probability that it will rain on Monday is 0.28.Are rain and Shameel missing his flight independent events? Explain.
A)Yes,if it rains,he cannot both miss his flight and catch his flight
B)No,the probability of Shameel missing his flight depends on whether it rains.
P(miss flight| rain)= 0.04,P(miss flight|no rain)= 0.01
C)Yes,the probability of Shameel missing his flight does not depend on whether it rains.
P(miss flight| rain)= P(miss flight|no rain)= 0.04
D)Yes,because P(miss flight and rain)= P(miss flight)∙ P(rain)
E)No,it is possible for both things to happen
P(rain and miss flight)= 0.28 ∙ 0.04.This is greater than zero.

Question

Quizplus · Accepted Answer

The probability of Shameel missing his flight depends on whether it rains or not, as given by the conditional probabilities. Therefore, rain and Shameel missing his flight are dependent events.

Shameel Has a Flight to Catch on Monday Morning