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Question

Fifty seeds were selected at random from each of 5 bags A,B,C,D,E of seeds, and were kept under standardised conditions equally favourable to germination. After 20 days, the number of seeds which had germinated in each collection were counted and recorded as follow :

BagABCDE

Number of seeds

germinated

4048423941

What is the probability of germination of

(i) more than 40 seeds in a bag?

(ii) 49 seeds in a bag?

(iii) more than 35 seeds in a bag?



A
(i)0.690
(ii)0.09
(iii)1
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B
(i)0.80
(ii)0.006
(iii)1
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C
(i)0.70
(ii)0.001
(iii)1
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D
(i)0.60
(ii)0
(iii)1
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Solution

The correct option is D (i)0.60
(ii)0
(iii)1
(i) Number of bags in which more than 40 seeds out of 50 seeds germinated =3
So, P (more than 40 seeds in a bag germinated) = 35 =0.60
(ii)Number of bags in which 49 seeds germinated =0
So, P (49 seeds germinated in bag) = 05 =0
(iii) Number of bags in which more than 35 seeds out 50 seeds germinated =5
Total number of bags=5
So, P(more than 35 seeds in a bag germinated) = 55 =1

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