Answer:
[tex]Pr = 0.67[/tex]
Step-by-step explanation:
Given
[tex]Start = 8:10:00[/tex]
[tex]End = 8:21:59[/tex]
[tex]You = 8:18:00[/tex]
Required
Chances that you missed the appointment
First, calculate the number of minutes of the radio station
[tex]n = End - Start[/tex]
[tex]n = 8:21:59 - 8:10:00[/tex]
[tex]n = 11\ min\ 59\ secs[/tex]
Convert to seconds
[tex]n = 719[/tex]
Since you turn on at 8:18:00, then you've missed the broadcast from the start till 8:18:00
So, we have:
[tex]Missed = 8:17:59 - 8:10:00[/tex]
[tex]Missed = 7\ mins\ 59\ secs[/tex]
Convert to seconds
[tex]Missed = 479[/tex]
The probability that you missed is:
[tex]Pr = \frac{Missed}{n}[/tex]
[tex]Pr = \frac{479}{719}[/tex]
[tex]Pr = 0.67[/tex]
