Wednesday, August 11, 2021

The survey about the investment habits of local citizens is given in contingency table: Age Stocks [S] Bonds [B] Savings Accounts [A] Totals 18-29 [Y] 6 2 15 23 30-49 [M] 14 5 14 33 50 or over [O] 32 20 12 64 Totals =52 =27 =41 =120

 

The survey about the investment habits of local citizens is given in contingency table:

 

 

Age                             Stocks [S]       Bonds [B]       Savings Accounts [A]            Totals

18-29 [Y]                    6                      2                      15                                            23

30-49 [M]                    14                    5                      14                                            33

50 or over [O]            32                    20                    12                                            64

Totals                          =52                  =27                  =41                                          =120

 

What is the probability of the number of citizens holding either stocks or bonds?

                         [Marks -01]

SOLUTION

Number of citizens holding stocks = n (S) = 52

Number of citizens holding Bonds = n(B) = 27

                                                       

   n (B U S) = 79

total citizens = n (T) = 120

Probability of the number of citizens holding either stocks or bonds = P (B U S)

                                                    = 79/120

                                                    = 0.658

                                                    = 56.8%

What is the probability of citizens holding either bonds or savings accounts in the age group of 18-29?

                                                                                               

SOLUTION

                             n (A U B Ռ Y) = 17

Probability of citizens holding either bonds or savings accounts = P (A)

                             P(A ) = 17/23

                                      = 0.739

                                      = 73.9%

What is the probability of citizens holding only stocks?   

                       

SOLUTION

                           n (S) =52

Probability of citizens holding only stocks = P (A)

                                  = 52/120

                                  = 0.433

                                  = 43.3%

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