![888914](/avatars/434.jpg)
888914
13.05.2021 •
Mathematics
Suppose that the number of minutes that you need to wait for a bus is uniformly distributed on the interval [0, 15]. If you take the bus seven times, what is the probability that your longest wait is less than 12 minutes
Solved
Show answers
More tips
- C Computers and Internet Keep Your Mouse Pad Clean: The Right Way to Clean It?...
- F Food and Cooking Homemade French Fries: The Ultimate Guide...
- D Dating, Love, Relationships How Long Can Love Last?...
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- C Computers and Internet How to Properly Order Clothing from International Online Stores...
- H Health and Medicine Headache: A Comprehensive Guide to Treatment...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- A Auto and Moto Discovering the Leader: What is the Most Expensive Car in the World?...
- F Food and Cooking How to Quickly Put your Child to Sleep?...
- C Computers and Internet How to Create a Website for Free and Easy?...
Answers on questions: Mathematics
- M Mathematics Help me plsssssssss asap...
- M Mathematics Finish the tick tock can we just talk...
- S SAT Which describes president hoover s approach to reviving the economy during the great depression?....
- P Physics Does quantum mechanics prove that subatomic particles can behave as waves or particles...
- C Computers and Technology Need help ASAP Thanks+ BRAINLIST only for correct answer What is the importance of protecting other’s personal information and privacy?...
Ответ:
0.2097 = 20.97% probability that your longest wait is less than 12 minutes
Step-by-step explanation:
To solve this question, we need to understand the uniform and the binomial distribution.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Probability of a single bus having a waiting time of less than 12 times:
Uniformly distributed on the interval [0, 15] means that![a = 0, b = 15](/tpl/images/1322/6456/e3c8c.png)
What is the probability that your longest wait is less than 12 minutes?
This is the probability that all 7 buses have waiting time less than 12 minutes, which is
when
, with
. So
0.2097 = 20.97% probability that your longest wait is less than 12 minutes
Ответ: