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vianca15
23.05.2020 •
Mathematics
One of your friends eats lunch in the cafeteria sometime between 12:00 P.M. And 12:30 P.M. Another friend eats lunch in the cafeteria sometime between 12:15 P.M. And 12:45 P.M. Today you get to the cafeteria at 12:20 P.M. What is the probability that you have missed both friends in the cafeteria?.
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Ответ:
11.11% probability that you have missed both friends in the cafeteria
Step-by-step explanation:
We use the uniform probability distribution to solve this question, since each lunch duration is equally as likely.
Uniform distribution:
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
Probability that you miss the first friend:
Somewhere between 12 and 12:30 pm, so his lunches are between 0 and 30 minutes, so![a = 0, b = 30](/tpl/images/0663/7364/fd360.png)
You arrive at 12:20. So if his lunch is 20 or less minutes, you miss him.
Probability that you miss the second friend:
Somewhere between 12:15 and 12:45 pm, so his lunches are between 0 and 30 minutes, so
.
You arrive at 12:20. So if his lunch is 5 or less minutes, you miss him.
Probability that you miss both friends:
Missing the first friend and the second friend are independent events. So we multiply these probabilities.
11.11% probability that you have missed both friends in the cafeteria
Ответ:
graph 3
Step-by-step explanation: