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:
Compute the value of the event (<em>X</em> > 14) as follows:
Thus, the probability that the wait time is greater than 14 minutes is 0.4786.