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# 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(Bc or A)

3)    P(Ac | 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(Bc or A)

3)   P(Ac | 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(Bc or A)

3)   P(Ac | 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(Bc or A)

3)   P(Ac | 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(Bc or A)

3)   P(Ac | B)

4)   P(A or B)

5)   P(A and B)

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

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