stat question about lottery
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stat question about lottery
help please thanks
Show transcribed image text
Expected value (mean): The average of the all the possible outcomes of the random variable is called as the expected value of the probability distribution. The outcomes for the random variable can be either the probability outcomes or the relative frequencies of the variable.
In Statistics, the long run average value obtained by repetitions for the given experiment is termed as expected value for the random variable X. Also, the random variable can be of discrete and continuous type. Moreover, as the number of repetitions is increased, the arithmetic mean of the values is approximately nearer to the expected value. The expected value of the random variable X is usually denoted by E(X).
The formula for the expected value of the discrete random variable is,
$E(X)=∑XP(X)$
Also, $E(X−a)=E(X)−a$
(a.1)
The expected cash prize is obtained as shown below:
It is mentioned that, grand price is $14,000,000. Also, let X is a random variable denoting cash prize
That is,
$E(X)=∑XP(X)= $
Explanation | Hint for next step
The expected cash prize is obtained by multiply each of the probabilities wi
We were unable to transcribe this image12 Product les 10 B 780 C460 1150 50 2000 350 120 SMALL(,4 10 Given the above screenshot, suppose -SMALL(C2:C6,4) is entered into cell C9. What output will result from this formula? 2000 780 50 #NUMI 13 Review Later Suppose -IFERROR(5000/2,1000) 100 is entered into a cell. What is the resulting output of this formula? #NUM! 1100 #VALUE! 2600 14 According to the information mentioned in the course, which of the following color schemes is best practice forfinancial modeling? Hard Codes in Blue, Formulas in Black Hard Codes in Black, Formulas in Blue Hard Codes in Black, Hard Codes in Red Hard Codes in Red, Formulas in Black 15 Which of the following formulas correctly anchors ONLY the row in cell A1? F1$1 SA$1 SA1 A1 We were unable to transcribe this image17 What is the correct syntax for the-YEARFRAC function? -YEARFRAC(basis,start_date,end_date) -YEARFRAC(start_date,end_date.[basis]) YEARFRAC(start date) YEARFRAC(end date,start date) 18 The result of # ROUND(513.2413,2) is 19 B C 1 Time Periods 5142017 u Dats DATE YEAR SCS1)+G1,12,31) aiven the sovw scershnt 12/31/2021 12/31/2019 12/31/2020 9/30/2017 20 1 Assets 2 Cash 3 Accounts Receivable 5 Current Assets 6 Property& Equipment 7 Goodwill 8 Total Assets 67,971 5,100 7.805 80,876 45,500 20,000 146,376 10 Liabilities 1 Short Term Debt 12 Accounts Payable 13 Current Liabilities 14 Long Term Debt 5 Total Liabilities 6 Shareholder’s Equity 7 Equity Capital 18 Retained Earnings 19 Shareholder’sE 20 Total Liabilities & Shareholders E 21 3,902 3,902 50,000 53,902 70,000 2,474 72,474 126,376 -IF 08-D20 OK) 23 24 Given the above screenshot, what is the resulting value in cell D22? TRUE OK FALSE ERROR Show transcribed image text
12 Product les 10 B 780 C460 1150 50 2000 350 120 SMALL(,4 10 Given the above screenshot, suppose -SMALL(C2:C6,4) is entered into cell C9. What output will result from this formula? 2000 780 50 #NUMI
13 Review Later Suppose -IFERROR(5000/2,1000) 100 is entered into a cell. What is the resulting output of this formula? #NUM! 1100 #VALUE! 2600
14 According to the information mentioned in the course, which of the following color schemes is best practice forfinancial modeling? Hard Codes in Blue, Formulas in Black Hard Codes in Black, Formulas in Blue Hard Codes in Black, Hard Codes in Red Hard Codes in Red, Formulas in Black
15 Which of the following formulas correctly anchors ONLY the row in cell A1? F1$1 SA$1 SA1 A1
17 What is the correct syntax for the-YEARFRAC function? -YEARFRAC(basis,start_date,end_date) -YEARFRAC(start_date,end_date.[basis]) YEARFRAC(start date) YEARFRAC(end date,start date)
18 The result of # ROUND(513.2413,2) is
19 B C 1 Time Periods 5142017 u Dats DATE YEAR SCS1)+G1,12,31) aiven the sovw scershnt 12/31/2021 12/31/2019 12/31/2020 9/30/2017
20 1 Assets 2 Cash 3 Accounts Receivable 5 Current Assets 6 Property& Equipment 7 Goodwill 8 Total Assets 67,971 5,100 7.805 80,876 45,500 20,000 146,376 10 Liabilities 1 Short Term Debt 12 Accounts Payable 13 Current Liabilities 14 Long Term Debt 5 Total Liabilities 6 Shareholder’s Equity 7 Equity Capital 18 Retained Earnings 19 Shareholder’sE 20 Total Liabilities & Shareholders E 21 3,902 3,902 50,000 53,902 70,000 2,474 72,474 126,376 -IF 08-D20 OK) 23 24 Given the above screenshot, what is the resulting value in cell D22? TRUE OK FALSE ERROR
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12)Provide the parent-map returned by a DFS of the following graph 13) The following table is the result of DFS(Max) on the graph given below using a random ordering to insert the items on the stack. Draw the resulting DFS tree. Max Max Ben Jen Jen en Amy Tim Jen 14)What is the resulting table for DFSJen) on the graph from question 13. Use any ordering to insert the items on the stack. Provide: . The resulting table . The resulting DFS tree Show transcribed image text 12)Provide the parent-map returned by a DFS of the following graph 13) The following table is the result of DFS(Max) on the graph given below using a random ordering to insert the items on the stack. Draw the resulting DFS tree. Max Max Ben Jen Jen en Amy Tim Jen 14)What is the resulting table for DFSJen) on the graph from question 13. Use any ordering to insert the items on the stack. Provide: . The resulting table . The resulting DFS tree
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Ipv4 addressing and subnetting
12. IS pts-J An ISP is granted the block of IP addresses containing the addresses: 24.12.6.3/13. The ISP does not grant its customers more than 2 valid host addresses a. Find the subnet mask that needs to be uscd in both binary and dotted decimal notation. h. Find the first valid address in the 23rd customer network. c. Find the first valid address in the 83rd customer network d. Find the last valid address in the 90th customer network e- Find the last valid address in the last customer network. Show transcribed image text 12. IS pts-J An ISP is granted the block of IP addresses containing the addresses: 24.12.6.3/13. The ISP does not grant its customers more than 2 valid host addresses a. Find the subnet mask that needs to be uscd in both binary and dotted decimal notation. h. Find the first valid address in the 23rd customer network. c. Find the first valid address in the 83rd customer network d. Find the last valid address in the 90th customer network e- Find the last valid address in the last customer network.
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DISCRETE STRUCTURES:
(12 pts) Number Theory (4 pts, 2 each) What are the prime factorizations of 52 and 77? a. b. (4 pts, 2 each) Using the factorizations from above, compute the following quantities. Leave your answers in factored form 1cm(52, 77) gcd(52, 77) og c. (4 pts) Using the extended Euclidean algorithm, find the inverse of 52 mod 77. No credit will be given for a brute force solution! Show transcribed image text
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theory of computation
(12 points) Define the following languages over Σ {a, b} For example, ε E Li, a ¢ Li, and bla E L1. For example, ε E L2 , a 또 L2, bla 또 L2, and babaaa E L2. Li-(w E Σ* | the length of u, is an integer multiple of 3} し2 = {w E Σ* | w has twice as many as as bs) (a) Design a CFG that generates L and uses fewer than 8 rules. Briefly justify the role of each rule in the grammar. (b) Is the grammar you defined in part (a) ambiguous or not? Justify your answer (c) Design a CFG that generates L2 and uses fewer than 5 rules. Briefly justify the role of eaclh rule in the grammar (d) Is the grammar you defined in part (c) ambiguous or not? Justify your answer Note: Using the | separator doesn’t reduce the number of rules. For example, the grammar ((S), {a,b), {S → aS | bS 다, S) has three rules. Show transcribed image text
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