Ask them to first estimate the quotient and then to find the actual
The answer is c because if head appears and the spinner is spun with 1 - 4 on it then you can get either h1, h2, h3 or h4 and if tales appears and another coin is tossed you can get either th or tt
To be a function each different x value would have a different Y value.
First one is a function, there are no repeated Y values.
The second one is a function.
Third one is not a function because it has two identical Y values with different x values.
The fourth one is a function.
25-3=22
22/2 = 11
John made 14 free throws while Jose made 11.
Answer:
The probability that the wait time is greater than 14 minutes is 0.4786.
Step-by-step explanation:
The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.
The average waiting time is, <em>β</em> = 19 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter
.
The probability distribution function of <em>X</em> is:
![f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...](https://tex.z-dn.net/?f=f%28x%29%3D%5Clambda%20e%5E%7B-%5Clambda%20x%7D%3B%5C%20x%3D0%2C1%2C2%2C3...)
Compute the value of the event (<em>X</em> > 14) as follows:
![P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786](https://tex.z-dn.net/?f=P%28X%3E14%29%3D%5Cint%5Climits%5E%7B%5Cinfty%7D_%7B14%7D%20%7B%5Clambda%20e%5E%7B-%5Clambda%20x%7D%7D%20%5C%2C%20dx%3D%5Clambda%20%5Cint%5Climits%5E%7B%5Cinfty%7D_%7B14%7D%20%7Be%5E%7B-%5Clambda%20x%7D%7D%20%5C%2C%20dx%5C%5C%3D%5Clambda%20%7C%5Cfrac%7Be%5E%7B-%5Clambda%20x%7D%7D%7B-%5Clambda%7D%7C%5E%7B%5Cinfty%7D_%7B14%7D%3De%5E%7B-%5Cfrac%7B1%7D%7B19%7D%20%5Ctimes14%7D-0%5C%5C%3D0.4786)
Thus, the probability that the wait time is greater than 14 minutes is 0.4786.