Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The probability that exactly 1 train will pass Mary's house is 0.00889.
According to the given question.
On average, 18 trains pass by Mary's house daily i.e. in 24 hours.
As, we know that "Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event".
Therefore,
The probability that exactly one train will pass Mary's house in a 3 hour period
= [tex]\frac{^{18C_{1} } }{^{24} C_{3} }[/tex]
[tex]= \frac{\frac{18!}{1!\times17!} }{\frac{24!}{3!\times 21!} }[/tex]
[tex]= \frac{18}{\frac{24\times23\times22}{3\times2\times1} }[/tex]
[tex]=\frac{18}{8\times23\times\ 11}[/tex]
= 18/2024
= 0.00889
Hence, the probability that exactly 1 train will pass Mary's house is 0.00889.
Find out more information about probability here:
https://brainly.com/question/13098829
#SPJ4
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
