For a fund-raiser, Anthony earns $5 for the first mile he runs, an additional $7 for the second mile, an additional $9 for the t
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Answer:
The number of minutes advertisement should use is found.
x ≅ 12 mins
Step-by-step explanation:
(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)
<h3 /><h3>Step 1</h3>For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.
Probability Density Function is given by:
Consider the second function:
Where Average waiting time = μ = 2.5
The function f(t) becomes
The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01
The probability that a costumer has to wait for more than x minutes is:
which is equal to 0.01
<h3>Step 3</h3>Solve the equation for x
Take natural log on both sides
The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger