Agricultural researchers are studying three different methods of planting peanuts. Four blocks of lands are selected. A randomized block design is used. The average weight of peanuts harvested (kg/m² ), X, is determined. The observations are given below: a) Method Block 1 Block 2 Block 3 Block 4 Total 51 A 13 13 13 12 B 11 11 10 10 42 10 34 8 31 9 36 Total 33 31 129 Suppose one peanut plant is randomly selected, find the probability tha* (i) it is using method C and in block 3, (ii) it is using method C or in block 3, (iii) it is using method C given that it is in block 3.

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а)
Agricultural researchers are studying three different methods of planting peanuts. Four blocks
of lands are selected. A randomized block design is used. The average weight of peanuts
harvested (kg/m? ), X, is determined. The observations are given below:
Method
Block 1
Block 2
Block 3
Block 4
Total
A
13
13
13
12
51
B
11
11
10
10
42
9
10
36
Total
33
34
31
31
129
Suppose one peanut plant is randomly selected, find the probability tha*
(i)
it is using method C and in block 3,
(ii)
it is using method C or in block 3,
(ii)
it is using method C given that it is in block 3.
Transcribed Image Text:а) Agricultural researchers are studying three different methods of planting peanuts. Four blocks of lands are selected. A randomized block design is used. The average weight of peanuts harvested (kg/m? ), X, is determined. The observations are given below: Method Block 1 Block 2 Block 3 Block 4 Total A 13 13 13 12 51 B 11 11 10 10 42 9 10 36 Total 33 34 31 31 129 Suppose one peanut plant is randomly selected, find the probability tha* (i) it is using method C and in block 3, (ii) it is using method C or in block 3, (ii) it is using method C given that it is in block 3.
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