Question

Consider the following events for a driver selected at random from a general population.

Answer 1

Answer:

a. P(AnB)

b. P(B|A)

c. $P(A^I|B)$

d. P(A or B)

e. $P(B^I or A)$

Step-by-step explanation:

Since  A= driver is under 25 years old (1)

B = driver has received a speeding ticket (2)

a.The probability the driver is under 25 years old and has recieved a speeding ticket.

this simple means the intersection of both set, which can be written as

P(AnB)

b. The probability a driver who is under 25 years old has received a speeding ticket.

This is a conditional probability, probability that B will occur given that A as occur.

P(B|A)

c. the probability a driver who has received a speeding ticket is 25 years or older.

$P(A^I|B)$

d. The probability the driver is under 25 years old or has received a speeding ticket.

P(A or B)

e. The probability the driver is under 25 years old or has not received a speeding ticket.

$P(B^I or A)$