dancemjones7458
19.03.2020 •
Mathematics
Suppose you have to cross a train track on your commute. The probability that you will have to wait for a train is 1/5, or .20. If you donât have to wait, the com mute takes 15 minutes, but if you have to wait, it takes 20 minutes.
What is the expected value of the time it takes you to commute?
Is the expected value ever the actual commute time? Explain.
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Ответ:
So, the expected value of the time it takes to commute is 16 minutes.
Step-by-step explanation:
Let X is time it takes you to commute. We calculate E(X)?
We know that the probability that you will have to wait for a train is 1/5, or .20. If you don’t have to wait, the com mute takes 15 minutes, but if you have to wait, it takes 20 minutes.
The probability that you will have to wait for a train is :
The probability of not waiting for a train is:
So we get the following probability distribution:
We calculate E(X):
So, the expected value of the time it takes to commute is 16 minutes.
Expected value is not always the actual travel time, because it can sometimes take anywhere from 15 to 20 minutes.
Ответ:
triangular prism
Step-by-step explanation:
Verify each case
case 1) rectangular prism
A rectangular prism has six rectangular faces
case 2) rectangular pyramid
A rectangular pyramid has one rectangular face and four triangular faces
case 3) triangular prism
A triangular prism has three rectangular faces and two triangular faces
case 4) triangular pyramid
A triangular pyramid has four triangular faces
therefore
A triangular prism has three rectangular faces