PREFER TYPING, SOLVE ASAP

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0 0.8 3.2 0.7 argentina 11.7 austurlia 5.8 Brazil 13.7 Canda 9.5 Chile 11.5 China 5 Colmbia 15.4 Costarica 17.1 Egypt 10.4 France 8.6 Germany 4.3 Kuwait 6.8 Luxembourg 7 Mexico 4.7 Moroco 10.1 Peru 6.2 Romania 4.8 Serbria 9.1 Spain 15.7 Tunsia 16.7 Turkey 13.9 United states 8.3 United Kingdom 4.3 united arab emirates 5 Uruguay 12.7 Bahrain Cuba 3.9 Greece 16.9 Malysia 4.6 3 2.4 2.5 0.7 5 0.5 0.5 1.1 0.8 3.4 0.7 1.8 2.6 1.6 -0.3 5.6 12.3 1.2 1 -2.1 9.8 -2.3 0 -1.2 - 1.1 der the following sample date. Using BPIVOT TABLE, atquenoy dibution table between Eamed p data by 15) and Department Pastable inte ha right yellow box Centre De 1a 2 a & OF STA 40 1 OF 8 104 707 704 ER 10 TA 11 12. 14 TON 18 554 1 YA BE 20 20 29 CES 230 4 30 TA se. tet Os 200 EEEE 11 TA 3 NO Tabulated values of (.), the cumulative distribution function of a standard normal variable, should not be used in this question. Henry the commuter lives in Cambridge and his working day starts at his office in London at 0900. He catches the 0715 train to King's Cross with probability p, or the 0720 to Liverpool Street with probability 1 - p. Measured in minutes, journey times for the first train are N(55, 25) and for the second are N(65, 16). Journey times from King's Cross and Liverpool Street to his office are N(30,144) and N (25,9), respectively. Show that Henry is more likely to be late for work if he catches the first train Henry makes M journeys, where M is large. Writing A for 1 - +(?) and B for 1 - 4(2), find, in terms of A, B, M and p, the expected number, L, of times that Henry will be late and show that, for all possible values of p, BMCLAM. Henry noted that in of the occasions when he was late, he had caught the King's Cross train. Obtain an estimate of p in terms of A and B. Note: A random variable is said to be N (1,02) if it has a normal distribution with mean ji and variance o nnn 19 20 KISS108 KISS108 5:00pm 4:30pm 2 Year Rating *** 1976 1982 2015 1987 1991 2008 2009 1987 1991 1935 1928 Company 3M (MMM) American Express (AXP) Apple (AAPL) Boeing (BA) Caterpillar (CAT) Chevron Corp. (CVX) Cisco Systems (CSCO) Coca-Cola (KO) Disney (DIS) DuPont (DD) ExxonMobil (XOM) General Electric (GE) Goldman Sachs (GS) Home Depot (HD) IBM (IBM) Intel (INTC) Johnson & Johnson (NJ) JPMorgan Chase (JPM) McDonald's (MCO) Merck (MRK) Microsoft (MSFT) Nike (NKE) Pfizer (PFE) Proctor & Gamble (PG) Travelers TRV) Inited Technologies (ITY) 1907 2013 1999 1979 1999 1997 1991 1985 1979 1999 2013 2004 1932 2009 1939 0 0.8 3.2 0.7 argentina 11.7 austurlia 5.8 Brazil 13.7 Canda 9.5 Chile 11.5 China 5 Colmbia 15.4 Costarica 17.1 Egypt 10.4 France 8.6 Germany 4.3 Kuwait 6.8 Luxembourg 7 Mexico 4.7 Moroco 10.1 Peru 6.2 Romania 4.8 Serbria 9.1 Spain 15.7 Tunsia 16.7 Turkey 13.9 United states 8.3 United Kingdom 4.3 united arab emirates 5 Uruguay 12.7 Bahrain Cuba 3.9 Greece 16.9 Malysia 4.6 3 2.4 2.5 0.7 5 0.5 0.5 1.1 0.8 3.4 0.7 1.8 2.6 1.6 -0.3 5.6 12.3 1.2 1 -2.1 9.8 -2.3 0 -1.2 - 1.1 der the following sample date. Using BPIVOT TABLE, atquenoy dibution table between Eamed p data by 15) and Department Pastable inte ha right yellow box Centre De 1a 2 a & OF STA 40 1 OF 8 104 707 704 ER 10 TA 11 12. 14 TON 18 554 1 YA BE 20 20 29 CES 230 4 30 TA se. tet Os 200 EEEE 11 TA 3 NO Tabulated values of (.), the cumulative distribution function of a standard normal variable, should not be used in this question. Henry the commuter lives in Cambridge and his working day starts at his office in London at 0900. He catches the 0715 train to King's Cross with probability p, or the 0720 to Liverpool Street with probability 1 - p. Measured in minutes, journey times for the first train are N(55, 25) and for the second are N(65, 16). Journey times from King's Cross and Liverpool Street to his office are N(30,144) and N (25,9), respectively. Show that Henry is more likely to be late for work if he catches the first train Henry makes M journeys, where M is large. Writing A for 1 - +(?) and B for 1 - 4(2), find, in terms of A, B, M and p, the expected number, L, of times that Henry will be late and show that, for all possible values of p, BMCLAM. Henry noted that in of the occasions when he was late, he had caught the King's Cross train. Obtain an estimate of p in terms of A and B. Note: A random variable is said to be N (1,02) if it has a normal distribution with mean ji and variance o nnn 19 20 KISS108 KISS108 5:00pm 4:30pm 2 Year Rating *** 1976 1982 2015 1987 1991 2008 2009 1987 1991 1935 1928 Company 3M (MMM) American Express (AXP) Apple (AAPL) Boeing (BA) Caterpillar (CAT) Chevron Corp. (CVX) Cisco Systems (CSCO) Coca-Cola (KO) Disney (DIS) DuPont (DD) ExxonMobil (XOM) General Electric (GE) Goldman Sachs (GS) Home Depot (HD) IBM (IBM) Intel (INTC) Johnson & Johnson (NJ) JPMorgan Chase (JPM) McDonald's (MCO) Merck (MRK) Microsoft (MSFT) Nike (NKE) Pfizer (PFE) Proctor & Gamble (PG) Travelers TRV) Inited Technologies (ITY) 1907 2013 1999 1979 1999 1997 1991 1985 1979 1999 2013 2004 1932 2009 1939