Answer:
The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.
Step-by-step explanation:
The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.
The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.
The probability density function of <em>X</em> is:
The parameter of the exponential distribution is:
Compute the value of P (X > 10) as follows:
Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.