Use the information given in question 14.

(a) Find the probability that the guard passes by within 35 min of the thief’s arrival.

(b) Find the probability that the guard does not pass by within 30 min.

(c) Find the probability that the guard passes by between 30 and 45 min after the thief’s arrival.

Question 14

A very observant art thief (who should probably be teaching statistics instead) notices that the frequency of security guards passing by a museum is uniformly distributed between 15 and 60 min. Therefore, if X denotes the time (in minutes) before the guard passes by, the probability density function of X is

Transcribed Image Text:

1/(60-15) for 15