Question

Consider the following events for a driver selected at random from the general population. A = driver is under 25 years old B = driver has received a speeding ticket Translate each of the following phrases into symbols. (a) The probability the driver has received a speeding ticket and is under 25 years old. P(B | A) P(Bc or A) P(Ac | B) P(A or B) P(A and B) Correct: Your answer is correct. (b) The probability a driver who is under 25 years old has recieved a speeding ticket. P(B | A) P(Bc or A) P(Ac | B) P(A or B) P(A and B) Correct: Your answer is correct. (c) The probability a driver who has received a speeding ticket is 25 years old or older. P(B | A) P(Bc or A) P(Ac | B) P(A or B) P(A and B) Correct: Your answer is correct. (d) The probability the driver is under 25 years old or has received a speeding ticket. P(B | A) P(Bc or A) P(Ac | B) P(A or B) P(A and B) Incorrect: Your answer is incorrect. (e) The probability the driver has not received a speeding ticket or is under 25 years old. P(B | A) P(Bc or A) P(Ac | B) P(A or B) P(A and B) Incorrect: Your answer is incorrect.

Answer 1

a) The probability the driver has received a speeding ticket and is under 25 years old. : P(A n B)

b) The probability a driver who is under 25 years old has recieved a speeding ticket. : P( B|A)

c) he probability a driver who has received a speeding ticket is 25 years old or older =P(A^c| 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 has not received a speeding ticket or is under 25 years old. =P(Bc or A)