Problem 4 A surgeon regularly performs a certain difficult operation. The probability of success for any one such operation is 73%. Fifty of these operations are scheduled. Let X represent the number of successful operations. a) Use Excel to construct a probability distribution table for this situation. If necessary, round probability values in your table to 9 decimal places. b) Use your probability distribution table to answer the following questions. "Be sure to highlight the indicated values in your table. i. ii. iii. E What is the probability that exactly 40 of the operations are successful? *Highlight in yellow the one value in your probability distribution table that answers this question. What is the probability that more than 40 of the operations are successful? *Highlight in green the values/ in your probability distribution that may be used to answer this question. Then, use an Excel formula to the right of your table to find the answer to this probability question, rounded to 4 decimal places. What is the probability that fewer than 40 of the operations are successful? *Highlight in blue the values in your probability distribution that may be used to answer this question. Then, use an Excel formula to the right of your table to find the answer to this probability question, rounded to 4 decimal places. c) Find the number of operations that are expected to be successful. In other words, find the mean. *Type your answer to the right of your table on the Excel worksheet and do not round the result. d) Find the standard deviation of the number of successful operations. *Type your answer to the right of your table on the Excel worksheet and round the result to the nearest hundredth j) Use Excel to construct a probability histogram to represent the binomial distribution graphically. *Be sure to include a title with your graphical display, and set the gap width to 0% so the bars will touch. You may also want to O Et 99+ a W Focus
Problem 4 A surgeon regularly performs a certain difficult operation. The probability of success for any one such operation is 73%. Fifty of these operations are scheduled. Let X represent the number of successful operations. a) Use Excel to construct a probability distribution table for this situation. If necessary, round probability values in your table to 9 decimal places. b) Use your probability distribution table to answer the following questions. "Be sure to highlight the indicated values in your table. i. ii. iii. E What is the probability that exactly 40 of the operations are successful? *Highlight in yellow the one value in your probability distribution table that answers this question. What is the probability that more than 40 of the operations are successful? *Highlight in green the values/ in your probability distribution that may be used to answer this question. Then, use an Excel formula to the right of your table to find the answer to this probability question, rounded to 4 decimal places. What is the probability that fewer than 40 of the operations are successful? *Highlight in blue the values in your probability distribution that may be used to answer this question. Then, use an Excel formula to the right of your table to find the answer to this probability question, rounded to 4 decimal places. c) Find the number of operations that are expected to be successful. In other words, find the mean. *Type your answer to the right of your table on the Excel worksheet and do not round the result. d) Find the standard deviation of the number of successful operations. *Type your answer to the right of your table on the Excel worksheet and round the result to the nearest hundredth j) Use Excel to construct a probability histogram to represent the binomial distribution graphically. *Be sure to include a title with your graphical display, and set the gap width to 0% so the bars will touch. You may also want to O Et 99+ a W Focus
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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