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the U.S. Postal Service during the previous two weeks?e)What is the probability that 14, 15, or 16 of the 30 Americans did not send a letter or pay a bill using the U.S. Postal Service during the previous two weeks?6.21An exponential probability distribution has a mean equal to 10 minutes per customer. Calculate the following probabilities for the distribution:a)P(x ≤ 12)b)P(x ≤ 2)c)P(x ≤ 10)d)P(x ≤ 5)6.22An exponential probability distribution has a mean equal to 7 minutes per customer. Calculate the following probabilities for the distribution:a)P(x > 12)b)P(x > 3)6.24An exponential probability distribution has lambda equal to 18 customers per hour. What is the probability that the next customer will arrivea)within the next 45 seconds?b)within the next 1 to 3 minutes?c)within the next 2 to 5 minutes?d)within the next 4 to 10 minutes?6.28During lunch hour, customers arrive at a fast food drive-through window, on average, every 2.5 minutes. Assume arrival time follows the exponential probability distribution.1.What is the probability that the next customer will arriveBUSA 3050 – Business Statistics – Due March 15, 2014 by 8:00pmChapter 6 do problems: 2,3,4,6,8,14,20,21,22,24,28,29,30,32,36
a.within the next 2 minutes?b.in more than 5 minutes?c.between 1 and 4 minutes?d.Confirm the answers to part a using Excel.6.29 A random variable follows the continuous uniform distribution between 20 and 50.1.A Calculate the following probabilities for the distribution:a.P(x ≤ 25)b.P(x ≤ 30)c.P(x ≤ 45)d.P(x = 28)2.What are the mean and standard deviation of this distribution?6.30A random variable follows the continuous uniform distribution between 60 and 95.A.