SOLUTION: A car company created a 90-second commercial and purchased enough air time for it to be played at 4 random times during prime time hours of 8p.m to 11 pm. If a viewer turns their t

Algebra ->  Statistics  -> Normal-probability -> SOLUTION: A car company created a 90-second commercial and purchased enough air time for it to be played at 4 random times during prime time hours of 8p.m to 11 pm. If a viewer turns their t      Log On


   



Question 1141562: A car company created a 90-second commercial and purchased enough air time for it to be played at 4 random times during prime time hours of 8p.m to 11 pm. If a viewer turns their television on at a random time during prime-time hours, what is the probability that the car commercial will be playing at the time?
A)1/120
B) 1/30
C) 1/45
D) 1/2

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability in this case is the ratio (the fraction) whose numerator is equal to 90*4 = 360 seconds,


while the denominator is 3 hours (the time from 8 pm to 11 pm), which is 3*3600 seconds.


So, the probability under the question is  360%2F%283%2A3600%29 = 1%2F%283%2A10%29 = 1%2F30.


The answer is option B).