Question

A radio station announces one listener's name between 8:10:00 and 8:21:59 every morning. If you turn the radio on at 8:18:00, what are the chances that you missed the announcement? Round your answer to the nearest hundredth.

Answer 1

`Pr = 0.67`

Explanation:

Given

`Start = 8:10:00`

`End = 8:21:59`

`You = 8:18:00`

Required

Chances that you missed the appointment

First, calculate the number of minutes of the radio station

`n = End - Start`

`n = 8:21:59 - 8:10:00`

`n = 11\ min\ 59\ secs`

Convert to seconds

`n = 719`

Since you turn on at 8:18:00, then you've missed the broadcast from the start till 8:18:00

So, we have:

`Missed = 8:17:59 - 8:10:00`

`Missed = 7\ mins\ 59\ secs`

Convert to seconds

`Missed = 479`

The probability that you missed is:

`Pr = (Missed)/(n)`

`Pr = (479)/(719)`

`Pr = 0.67`