Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e. ![\lambda=24](https://tex.z-dn.net/?f=%5Clambda%3D24)
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is ![\frac{1}{\lambda}e^{-\frac{x}{\lambda}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%7De%5E%7B-%5Cfrac%7Bx%7D%7B%5Clambda%7D%7D)
The function form according to question is
![f(x)=\{\frac{1}{24}e^{-\frac{x}{24}}, x>0\}](https://tex.z-dn.net/?f=f%28x%29%3D%5C%7B%5Cfrac%7B1%7D%7B24%7De%5E%7B-%5Cfrac%7Bx%7D%7B24%7D%7D%2C%20x%3E0%5C%7D)
The probability that X is less than 32 minutes is
![P[x](https://tex.z-dn.net/?f=P%5Bx%3C32%5D%3D1-e%5E%7B-%5Cfrac%7B32%7D%7B24%7D%7D)
![P[x](https://tex.z-dn.net/?f=P%5Bx%3C32%5D%3D1-0.26359)
![P[x](https://tex.z-dn.net/?f=P%5Bx%3C32%5D%3D0.736)
Therefore, the probability that X is less than 32 minutes is 0.736.
The answer is B
Explanation: when there is Two parentheses you multiply
![\huge\pink {\underline { \overline{ \bf \mid\: \: \: \: \: Question\: \: \: \: \mid}}}](https://tex.z-dn.net/?f=%5Chuge%5Cpink%20%7B%5Cunderline%20%7B%20%5Coverline%7B%20%5Cbf%20%5Cmid%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20Question%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5Cmid%7D%7D%7D)
Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.
![\huge\mathbb\colorbox{white}{\color{pink}{Hope\:It\:Help\:U}}](https://tex.z-dn.net/?f=%5Chuge%5Cmathbb%5Ccolorbox%7Bwhite%7D%7B%5Ccolor%7Bpink%7D%7BHope%5C%3AIt%5C%3AHelp%5C%3AU%7D%7D)
The answer is 1/3 chances, There are 12 tables in total, 4 red and 8 blue. You can Render that down to 1 red and 2 blue, now there are 3 tables and only 1 is red, therefore the answer is 1/3 chance
Answer:
0 hours and 17 minutes
Step-by-step explanation:
47 - 30 = 17