On a particular busy section of the Garden State Parkway in New Jersey, police use radar guns to detect speeding drivers. Assume the time that elapses between successive speeders is exponentially distributed with the mean of 34 minutes. What is the probability of a waiting time in excess of 44 minutes between successive speeders

Solved

Show answers

Ответ:

beyza13

20.01.2023

Mathematics

Hello!

The answer is: $\frac{58}{7}$

Why?

Since we have mixed numbers, first we need to make it fractions, then we can add/subtract the resultant fractions.

Sum of fractions is not linear, to add/subtract actions we must follow the next steps:

Multiply each fraction denominator by each other, it will be the new fraction denominator.Multiply first fraction numerator by the second fraction denominator.Multiply first fraction denominator by the second fraction numerator.Add/subtract each result from step 2 and 3 to get the new fraction numerator.Simplify the results.

Therefore,

$2\frac{1}{10}=2+\frac{1}{10}=\frac{20+1}{10}=\frac{21}{10}$

$1\frac{2}{7}=1+\frac{2}{7}=\frac{7+2}{7}=\frac{9}{7}$

$4\frac{9}{10}=4+\frac{9}{10}=\frac{40+9}{10}=\frac{49}{10}$

Now, we have all mixed numbers changed to fractions. Then, we need to add the fractions:

$\frac{21}{10} + \frac{9}{7} + \frac{49}{10}=\frac{147+90}{70} +\frac{49}{10}\\\\\frac{237}{70}+\frac{49}{10}=\frac{2370+3430}{700}=\frac{5800}{700}=\frac{58}{7}$

Have a nice day!

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice