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

Answer:

$Pr = 0.67$

Step-by-step 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:

$Pr = \frac{Missed}{n}$

$Pr = \frac{479}{719}$

$Pr = 0.67$