Excel File Edit View Insert Format Tools Data Window Help Q 8 Thu Feb 10 11:21 AM AutoSave O OFF A B P ? C ... 3 CH 5&6_Class Prob_S22 Home Insert Draw Page Layout Formulas Data Review View Tell me Share Comments Calibri (Body) 18 AA E ab Wrap Text General 2 NAY - O. Paste B IUV BY OvAv Merge & Center v $ ~ % 9 08 20 Conditional Format Cell Insert Delete Format Sort & Find & Analyze Formatting as Table Styles Filter Select Data C51 4 X V fx 1 TextBox 40 C D E F G H I K M N 0 P Q R S T 1 Q1. The following data were collected by counting the number of operating rooms in use at Tampa General Hospital over a 20-day period: On three of the days only one operating room was used, on five of the days two were used, on eight of the days three were used, and on four days all four of the hospital's operating rooms were used. Variable: x=Number of operating rooms in use on a given day at Tempa GH. a. Use the relative frequency approach to construct an empirical discrete probability distribution for the number of operating rooms in use on any given day. 10 b. Draw a graph of the probability distribution. 11 12 c. Show that your probability distribution satisfies the required conditions for a valid discrete probability distribution. 13 15 16 18 19 Q2. The following table is a partial probability distribution for the MRA Company's projected profits (x-profit in $1000s) for the first year of operation (the negative value denotes a loss). 30 a. What is the proper value for f(200)? What is your interpretation of this value? 32 b. What is the probability that MRA will be profitable? 33 c. What is the probability that MRA will make at least $100,000? 34 d. Compute the expected Profit. 35 e. Compute the variance and standard deviation of Profit. 36 CH 5 CH 6 Group work + Ready 100% FEB 10 stv 4Excel File Edit View Insert Format Tools Data Window Help Q 8 Thu Feb 10 11:23 AM AutoSave O OFF A BE ? C ... 1 CH 5&6_Class Prob_S22 Home Insert Draw Page Layout Formulas Data Review View Tell me Share Comments Calibri (Body) 18 AA = = ab Wrap Text General 2 NAY - O. Paste BIUVE OvAv Merge & Center v $ ~ % 9 08 40 Conditional Format Cell Insert Delete Format Sort & Find & Analyze Formatting as Table Styles Filter Select Data C51 * X V f. TextBox 40 C D E F G H K M N 0 P R S T 26 27 Q2. The following table is a partial probability distribution for the MRA Company's projected profits (x-profit in $1000s) for the first year of operation (the negative value 28 denotes a loss). 29 30 31 a. What is the proper value for f(200)? What is your interpretation of this value? 32 b. What is the probability that MRA will be profitable? 33 c. What is the probability that MRA will make at least $100,000? d. Compute the expected Profit. 35 e. Compute the variance and standard deviation of Profit. 36 37 38 39 40 43 X f (x) 45 -100 0.1 46 0 0.2 47 50 0.3 48 100 0.25 49 150 0.1 50 200 0.05 51 Sum 1 52 53 54 55 56 57 CH 5 CH 6 Group work + Ready + 100% FEB 10 tv RA A WExcel File Edit View Insert Format Tools Data Window Help Q 8 Thu Feb 10 11:23 AM AutoSave O OFF A BE ? C ... 1 CH 5&6_Class Prob_S22 Home Insert Draw Page Layout Formulas Data Review View Tell me Share Comments Calibri (Body) 18 AA ab Wrap Text General EX AY- O. Paste OvAv Merge & Center v $ ~ % 9 08 40 Conditional Format Cell Insert Delete Format Sort & Find & Analyze Formatting as Table Styles Filter Select Data C51 4 X V f. TextBox 40 C D E F G H K M N P R S T 60 West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 62 61 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has 63 developed the following probability distribution for x= the number of new clients for marriage counseling for the next year. 64 65 Is this probability distribution valid? Explain. 66 What is the probability MCC will obtain more than 30 new clients? 68 What is the probability MCC will obtain fewer than 20 new clients? 69 Compute the expected value and variance of x. 70 71 74 75 X f(x) 76 10 0.05 77 20 0.1 78 30 0.1 79 40 0.2 50 0.35 60 0.2 94 CH 5 CH 6 Group work + Ready + 100% FEB 10 tv A WExcel File Edit View Insert Format Tools Data Window Help Q 8 Thu Feb 10 11:24 AM AutoSave O OFF A BE ? C ... 3 CH 5&6_Class Prob_S22 Home Insert Draw Page Layout Formulas Data Review View Shape Format Tell me Share Comments Calibri (Body) 11 AA = E ab Wrap Text v General ZAY- O. IN Paste BI UVV SAV E = Merge & Center v $ ~ % 9 68 398 Conditional Format Cell Insert Delete Format Sort & Find & Analyze Formatting as Table Styles Filter Select Data TextBox 40 # fix TextBox 40 A B C D E F G H K M Draw a graph for the standard normal distribution. Label the horizontal axis at values of -3, -2, -1, 0, 1, 2, and 3. Find the following probabilities P(z S 1.5) P(z S -1.0) P(z 2-1) P(z $ 1.5) - W P(z S-1.0) 7 P(2 2-1) -1 -2 - 3 -2 P(z 2-.23) 10 P(z 2-.23) P(0