Q2. 90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time. Are the events, departing on time and arriving on time, independent?

Events departing on time and arriving on time are NOT independent.

Explanation:

If two events A and B are independent, then

P(A and B) = P(A) * P(B)

Here

A = flights depart on time

B = flights arrive on time

P(A) = 0.90

P(B) = 0.80

If A and B are independent, then

P(A and B) = P(A) * P(B) = 0.9 * 0.8 = 0.72

Since

the observed value of P(A and B) is 0.75,

assuming that there are no observation errors, we conclude that the two events A and B are not independent.

being suspected of supplying drugs means you are much more likely to be charged. the amount of drugs found on you, and whether you have a criminal record, will be taken into account when a punishment is being decided.

decisions to prosecute are taken by the public prosecution service. the maximum sentences for intent to supply drugs are:

answer; customers within the organization