Question

22) A company selected 4000 households at random and
surveyed them to find out a relationship between income
level and the number of television sets in a home. The
information, so obtained is listed in the following table.
Monthly Income Number of televisions /
(in )
households
0 1 2 Above 2
Less than 10000 20 80
10000 - 14999
240
0
15000 - 19999
380
20000 - 249990 520 370 80
25000 and abovel o 1100 760 220
Find the probability
(i) of a household earning 10000 - 14999 per
month and having exactly one television
(ii) of a household earning 25000 and above per
month and owning 2 televisions.
(iii) of a household not having any television.

Answer 1

Answer:

3/50

19/100 or 49/200

3/400

Step-by-step explanation:

Income                       TV Sets

                                     0                    1             2          Above 2    Total

Less than 10000          20                 80          10          0               110

10000-14999                10                  240        60         0               310

15000 - 19999              0                   380         120       30             530

20000 - 24999            0                   520         370       80            970

25000 Above               0                  1100         760       220          2080

              TOTAL           30                2320      1320      330          4000

                                                       

(i)  probability of a household earning 10000 - 14999 per month and having exactly one television  = 240/4000 = 3/50

(ii) Probability of a household earning 25000 and above per month and owning 2 televisions.  -

Exactly 2  = 760/4000 = 76/400  = 19/100

Atleast 2 = (760 + 220)/4000 = 980/4000 = 98/400 = 49/200

(iii) probability of a household not having any television. = 30/4000

= 3/400

Answer 2

Step-by-step explanation:

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