Question

# 2) If two events *A* and *B* are independent and you know that *P*(*A*) = 0.50,

what is the value of *P*(*A* | *B*)?

4)Given *P*(*A*) = 0.5

and *P*(*B*) = 0.3,

do the following.

(a) If *A* and *B* are mutually exclusive events, compute *P*(*A* *or* *B*).

(b) If *P*(*A* *and* *B*) = 0.1, compute *P*(*A* *or* *B*).

6)Given *P*(*A*) = 0.2

and *P*(*B*) = 0.8,

do the following.

(a) If *A* and *B* are independent events, compute *P*(*A* *and* *B*).

(b) If *P*(*A* | *B*) = 0.9, compute *P*(*A* *and* *B*).

Question 7. 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.Which answer is correct

(a) The probability the driver has received a speeding ticket and is under 25 years old. Which answer is correct

*1) P*(*B* | *A*)

*2) P*(*B*^{c}* or A*)

*3) * *P*(*A*^{c} | *B*)

*4) P*(*A or B*)

*5) P*(*A and B*)

(b) The probability a driver who is under 25 years old has recieved a speeding ticket. Which answer is correct

*1) 1)P*(*B* | *A*)

*2) 2)P*(*B*^{c}* or A*)

*3) P*(*A*^{c} | *B*)

*4) P*(*A or B*)

*5) P*(*A and B*)

(c) The probability a driver who has received a speeding ticket is 25 years old or older. Which answer is correct

*1) P*(*B* | *A*)

*2) P*(*B*^{c}* or A*)

*3) P*(*A*^{c} | *B*)

*4) P*(*A or B*)

*5) P*(*A and B*)

(d) The probability the driver is under 25 years old or has received a speeding ticket. Which answer is correct

*1) P*(*B* | *A*)

*2) P*(*B*^{c}* or A*)

*3) P*(*A*^{c} | *B*)

*4) P*(*A or B*)

*5) P*(*A and B*)

(e) The probability the driver has not received a speeding ticket or is under 25 years old. Which answer is correct

*1) P*(*B* | *A*)

*2) P*(*B*^{c}* or A*)

*3) P*(*A*^{c} | *B*)

*4) P*(*A or B*)

*5) P*(*A and B*)

#### Top Answer

2) A and B are independent therefore it doesn't matter what B is if you know P(A): P(A | B) = P(A) = 0.50 4) A and B are... View the full answer