The Probability of that more than 7 of them germinate is 0.2948.
<h3>What is Probability?</h3><h3>Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.</h3>
We are to determine the probability that more than 7 of 10 seeds (i.e. 8, 0r 9 0r 10) germinate.
The probability that all 10 seeds germinate is equal 0.80¹⁰= 0.1073 = 10.73%.
The probability that only the first (only the second, etc ) seed does not germinate is equal 0.20 X 0.80⁹= 0.0268 = 2.68%.
The probability that 6 seeds germinate is the sum of the probabilities that only the first seed does not germinate, only the second one does not germinate, etc, and equals to 10 X 0.0268 = 0.268 = 26.8%.
The total probability that more than 7 of 10 seeds germinate is the sum of the probabilities that 10 seeds germinate and that 7 seeds germinate, i.e. 2.68 % + 26.8 % = 29.48 %.
Thus, The Probability of that more than 7 of them germinate is 0.2948.
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