Problem 2. (10 points) The amount of time passing between successive customer "check-ins" to a downtown Calgary hotel can be modeled by the Exponential distribution with a mean of 15 minutes. (a) What can you say about the distribution of the time passing between the successive 'check-ins' of customers at this downtown Calgary hotel? ○ A. The distribution is symmetrical with a mean of 15 minutes and a standard deviation of 15 minutes. ○ B. The distribution is left-skewed with a mean of 15 minutes and a standard deviation of 225 minutes². C. The distribution is left-skewed with a mean of 15 minutes and a standard deviation of 3.87 minutes. ○ D. The distribution is right-skewed with a mean of 15 minutes and a standard deviation of 225 minutes². ○ E. The distribution is left-skewed with a mean of 15 minutes and a standard deviation of 15 minutes. ○ F. The distribution is right-skewed with a mean of 15 minutes and a standard deviation of 3.87 minutes. O G. The distribution is right-skewed with a mean of 15 minutes and a standard deviation of 15 minutes. (b) Compute the probability that the amount of time passing between the arrival of successive customers who check-in is (i) less than 8 minutes. (Use four decimals in your answer) (ii) between 9.5 and 19 minutes. (Use four decimals in your answer) (iii) more than 27 minutes. (Use four decimals in your answer) (c) If 10 minutes have passed since the last customer checked-in, what is the probability that at least another 15 minutes will pass until the next customer checks-in to this hotel? (Use four decimals in your answer) (d) The number of minutes passing between successive customer check-ins is at most how many minutes, 95% of the time? minutes (Use two decimals in your answer)
The amount of time passing between successive customer "check-ins" to a downtown Calgary hotel can be modeled by the Exponential distribution with a
(a) What can you say about the distribution of the time passing between the successive 'check-ins' of customers at this downtown Calgary hotel?
A. The distribution is symmetrical with a mean of 15 minutes and a standard deviation of 15 minutes.
B. The distribution is left-skewed with a mean of 15 minutes and a standard deviation of 225 �������2.
C. The distribution is left-skewed with a mean of 15 minutes and a standard deviation of 3.87 minutes.
D. The distribution is right-skewed with a mean of 15 minutes and a standard deviation of 225 �������2.
E. The distribution is left-skewed with a mean of 15 minutes and a standard deviation of 15 minutes.
F. The distribution is right-skewed with a mean of 15 minutes and a standard deviation of 3.87 minutes.
G. The distribution is right-skewed with a mean of 15 minutes and a standard deviation of 15 minutes.
(b) Compute the probability that the amount of time passing between the arrival of successive customers who check-in is
(i) less than 8 minutes. (Use four decimals in your answer)
(ii) between 9.5 and 19 minutes. (Use four decimals in your answer)
(iii) more than 27 minutes. (Use four decimals in your answer)
(c) If 10 minutes have passed since the last customer checked-in, what is the probability that at least another 15 minutes will pass until the next customer checks-in to this hotel?
(Use four decimals in your answer)
(d) The number of minutes passing between successive customer check-ins is at most how many minutes, 95% of the time?
minutes (Use two decimals in your answer)
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