You are shopping for a video game system.
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Answer:
- <em>m</em> =
- <em>μ</em> = 20
- <em>σ </em>= 20
The probability that a person is willing to commute more than 25 miles is 0.2865.
Step-by-step explanation:
Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.
A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.
The decay parameter is, <em>m</em>.
The probability distribution function of an Exponential distribution is:
<u>Given</u>: The decay parameter is,
<em>X</em> is defined as the distance people are willing to commute in miles.
- The decay parameter is <em>m</em> =
.
- The mean of the distribution is:
.
- The standard deviation is:
Compute the probability that a person is willing to commute more than 25 miles as follows:
Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.