Solve this equation by factoring, using the quadratic formula, completing the square or square rooting.
x^2+8x+3=-4
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Probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.082085.

Step-by-step explanation:

We are given that the distribution of arrival time can be modeled using an exponential distribution with rate 1/4 arrivals per minute.

Let X = Amount of time until the next student will arrive in the library parking lot at the university.

The probability distribution for exponential distribution is given by;

where, = parameter of this distribution or the arrival rate = = 0.25

So, X ~ Exp()

Now, to find the less than or greater than probabilities in exponential distribution we use the Cumulative distribution function of exponential function, i.e.;

So, probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is given by = P(X > 10 minutes)

     P(X > 10) = 1 - P(X 10)

                     = 1 - [ ]

                      = = 0.082085

Therefore, probability that it will take more than 10 minutes for the next student to arrive is 0.082085.