Suppose a queueing system has two servers, exponential interarrival times with mean of 1 hour, and exponential service times with mean of 1 hour per customer. suppose a customer has just arrived at 12.00 noon.
)what is the probability that the next arrival will come before 1.00 pm (between 1.00 pm and 2.00 pm, after 2.00 pm)? 2)suppose no customer arrives before 1.00 pm. what is the probability that the next arrival will come between 1.00 pm and 2.00 pm? 3)what is the probability that the number of arrivals between 1.00 pm and 2.00 pm will be zero (one, more than one)? 4)suppose that both servers are serving customers at 1.00 pm. what is the probability that neither customer will have service completed before 1.01 pm (before 1.10 pm, before 2 pm)?

Each cookie sells for $0.50 sam spent $90 on baking supplies and each cookie cost $0.25 to make how many cookies does sam need to sell before making a profit formula: sales> cost

Adistribution has the five-number summary shown below. what is the third quartile, q3, of this distribution? 22, 34, 41, 55, 62

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?