Question

In: Statistics and Probability

    In a certain hospital ER the average amount of patients that enter in a 15...

    In a certain hospital ER the average amount of patients that enter in a 15 minute interval is 3.6. If each 15 minute interval is independent of one another, and the amount of patients that show up in one 15 minute interval does not influence or change the number of patients that show up in any other 15 minute interval. Arrivals occur smoothly throughout each 15 minute interval. Answer the following questions:

A.            What is the probability that at most 2 patients will show up in a 15 minute interval?    

B.            What would be your new mean, if we were to use this information to figure out probabilities during a 5 minute interval?

C.            Using the new mean in part B, what is the probability that more than 1 patient will show up in a 5 minute interval?

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The ages of some patients admitted to a certain hospital during a particular week were as...
The ages of some patients admitted to a certain hospital during a particular week were as follows: 48, 109, 31, 54, 11, 37, 18, 64, 99 , 61, 43, 40, 71, 52, 12, 65, 54, 42, 34, 62, 74, 48, 29, 19, 28, 30, 36, 49, 68, 35, 57, 126, 27, 58, 78, 72, 40, 22, 89, 61, 92, 84,100, 101, 96, 113, 79, 85, 21, 67, 94, 25, 69, 108, and 105. Construct the Stem and Leaf display from...
The ages of some patients admitted to a certain hospital during a particular week were as...
The ages of some patients admitted to a certain hospital during a particular week were as follows: 48, 109, 31, 54, 11, 37, 18, 64, 99 , 61, 43, 40, 71, 52, 12, 65, 54, 42, 34, 62, 74, 48, 29, 19, 28, 30, 36, 49, 68, 35, 57, 126, 27, 58, 78, 72, 40, 22, 89, 61, 92, 84,100, 101, 96, 113, 79, 85, 21, 67, 94, 25, 69, 108, and 105. Construct the Stem and Leaf display from...
The ages of 30 patients admitted in a certain hospital during a particular week were as...
The ages of 30 patients admitted in a certain hospital during a particular week were as follows: 48, 31, 54, 37, 18, 64, 61, 43, 40, 71, 51, 12, 52, 65, 53, 42, 39, 62, 74, 48, 29, 67, 30, 49, 68, 35, 57, 26, 27, 58 Find: Mean Median Mode Geometric Mean Harmonic Mean Mid Range Lower Quartile Upper Quartile First Decile Ninth Decile Fourth Percentile Ninety Sixth Percentile Range Inter Quartile Range Quartile Deviation Mean of Absolute Deviations...
Patients arrive at the emergency room of Mercy Hospital at the average rate of 12 in...
Patients arrive at the emergency room of Mercy Hospital at the average rate of 12 in 60 minutes. what is the probability that 10 patients will arrive in 60 minutes? What is the probability that 4 patients will arrive in 30 minutes?
Patients arrive at the emergency room of Costa Val- ley Hospital at an average of 5...
Patients arrive at the emergency room of Costa Val- ley Hospital at an average of 5 per day. The demand for emergency room treatment at Costa Valley fol- lows a Poisson distribution. (a) Using Appendix C , What is the sum of these probabilities, and why is the number less than 1? The Appendix C, compute the probabilty of exactly 0,1,2,3,4, and 5 arrivals per day. Put in excel.
The average length of stay in a chronic disease hospital for a certain type of patient...
The average length of stay in a chronic disease hospital for a certain type of patient is 60 days with a standard deviation of 15 days. If 36 of these patients are randomly selected, find the probability that the average length of stay of these 36 patients is less than 58 days. (a) .1519 (b) .3176 (c) .4483 (d) .2119 (e) .6124
Operating Room The hospital has to allocate a certain amount of operating room (OR) time to...
Operating Room The hospital has to allocate a certain amount of operating room (OR) time to specific cardiac procedures. Since the actual procedure time in the OR is random and will - in the best of all cases - vary around the expected procedure time, some procedures will exceed the forecasted durations while others will be completed ahead of schedule. If the hospital reserves too much time to a case, the OR is likely to incur excessive idle time. If,...
Patients recovering from an appendix operation normally spend an average of 6.3 days in the hospital....
Patients recovering from an appendix operation normally spend an average of 6.3 days in the hospital. The distribution of recovery times is normal with a σ = 2.2 days. The hospital is trying a new recovery program designed to lessen the time patients spend in the hospital. The first 25 appendix patients in this new program were released from the hospital in an average of 5.5 days. On the basis of these data, can the hospital conclude that the new...
A medical researcher wants to determine if the average hospital stay after a certain procedure is...
A medical researcher wants to determine if the average hospital stay after a certain procedure is less than 11.87 days. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 11.87, Alternative Hypothesis: μ < 11.87. If the researcher randomly samples 25 patients that underwent the procedure and determines their average hospital stay was 10.6 days with a standard deviation of 6.724 days, what is the test statistic and p-value of this test? Question 10 options: 1) Test...
1. Reimbursement Methods A. A hospital admits 525 patients per month who stay an average of...
1. Reimbursement Methods A. A hospital admits 525 patients per month who stay an average of five (5.0) days per admission. This hospital charges $12,000 per admission and incurs $7,100 in costs ($4,000 fixed and $3,100 variable) per patient. Assume all patients are reimbursed under the same reimbursement method, complete the table and calculate net income for the hospital under each reimbursement method.             A.         80% of Charges:             B.         Cost:             C.         $1,550 per diem:             D.         $7,250 per...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT