The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a Mean of 13. What is the probability that the arrival time between customers will be 12 or less? Report your answers in decimals, using 4 decimals.

The probability that the arrival time between customers will be 12 or less is 0.6027.

Step-by-step explanation:

We are given that the time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a Mean of 13.

Let X = time between arrivals of customers

The probability distribution for exponential distribution is given by;

where, = parameter of this distribution or the arrival rate

Since, the mean of exponential distribution = E(X) =  

So, 13 = ,

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 the arrival time between customers will be 12 or less is given by = P(X 12)

            P(X 12) =

                            =

                            = = 0.6027

Therefore, probability that the arrival time between customers will be 12 or less is 0.6027.

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation:

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step-by-step explanation: