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) (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) (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) (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) (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)

Answer 1

Answer:

(a) P(A and B)

(b) P(B | A)

(c) P(Ac | B)

(d) P(A or B)

(e) P(Bc or A)

Explanation:

The letter P that represents the probability is set out of the brackets so inside of them we can find the words that define the interaction of the elements that present the hypothesis, the sentences present variants of the symbols P(A | B) that is the general form to represent statistics, which is the conditional probability function and means the probability of event A given event B occurred.