Question

A small airport has two flights each day to its feeder hub. The probability the early flight is full is 0.75. The probability the late flight is full is 0.80. The probability both flights are full is 0.70. Are these events disjoint, independent, or neither

Answer 1

Answer:

Early flight being full and late flight being full both are neither disjoint nor independent events.

Step-by-step explanation:

We are given the following in the question:

A: Early flight is full

The probability the early flight is full = 0.75

$P(A) = 0.75$

B: Late flight is full

The probability the late flight is full = 0.80

$P(B) = 0.80$

The probability both flights are full = 0.70

$P(A\cap B) = 0.70$

Since

$P(A\cap B) = 0.70 \neq 0$

The two events are not disjoint.

Condition for independent events:

$P(A\cap B) = P(A)\times P(B)\\0.70 \neq 0.75\times 0.80$

Thus, the two events does not satisfy this condition, hence, the two events are not independent.

Conclusion:

Thus, early flight being full and late flight being full both are neither disjoint nor independent events.