During Van Mahotsav, plants were planted in 25 schools and the data are given below.
16 20 23 10 6
10 12 7 9 15
15 22 11 13 21
17 9 4 10 12
20 15 18 18 22
Based on the above given data, answer the following questions:
(a) The empirical probability of the given data is --------- probability
i) conditional ii) subjective iii) theoretical iv) experimental
The probability of an event lies between
i) 0 ≤p ≤ 1 ii) 0 1 iii) 0 ≥ p ≥ 1 iv) 0 > p > 1
What is the probability that the school is planting at the most 4 plants?
i) 1/25
'( ii) 4/25
'( iii) 7/25
'( iv) 6/25
What is the probability that the school is planting at least 10 plants?
i) 5/25
'( ii)24/25
'( iii) 1/25
'( iv) 4/5
explain with proper steps and answe it quickly
Answers
Given : During Van Mahotsav, plants were planted in 25 schools and the data are given below.
16 20 23 10 6
10 12 7 9 15
15 22 11 13 21
17 9 4 10 12
20 15 18 18 22
To Find : a) The empirical probability of the given data is --------- probability
i) conditional ii) subjective iii) theoretical iv) experimental
The probability of an event lies between
i) 0 ≤p ≤ 1 ii) 0 1 iii) 0 ≥ p ≥ 1 iv) 0 > p > 1
What is the probability that the school is planting at the most 4 plants?
i) 1/25 '( ii) 4/25 '( iii) 7/25 '( iv) 6/25
What is the probability that the school is planting at least 10 plants?
i) 5/25 ( ii)24/25 '( iii) 1/25 ( iv) 4/5
Solution
a) The empirical probability of the given data is experimental probability.
as its based on data of planted plants
The probability of an event lies between
0 ≤p ≤ 1
0 - Impossible event
1 sure event
all other events may happen or may not
probability that the school is planting at the most 4 plants = 1/25
( as it has plant 4 or less than 4 and only one such data exist )
Probability the school is planting at least 10 plants = 7/25
( as it has plant 10 or less than 10 )
4 6 7 9 9 10 10 = 7 such cases
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