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olga nikolaevna [1]
3 years ago
9

John often speed while driving to school in order to arrive on time. The probability that he will speed to school is 0.75. If th

e probability that he speeds and gets stopped by a police officer is 0.25. Find the probability that he is stopped, given that he is speeding.
Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer:

0.33

Step-by-step explanation:

Given the following :

P(speeding) = p(s) = 0.75

P(being stopped) = p(t)

P(speeding and gets stopped) = p(s n t) = 0.25

Find the probability that he is stopped, given that he is speeding is written as P(t | s) ;

P(t | s) = p(s n t) / p(s)

P(s n t) = 0.25

P(s) = 0.75

Hence,

P(t | s) = 0.25 / 0.75

P(t | s) = 0.33

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