During a war, on an average one ship out of 9 sunk in a certain voyage. Find the probability that exactly 5 out of a convoy of 6 ships would arrive safely
Answers
Given : During a war, on an average one ship out of 9 sunk in a certain voyage.
To Find : the probability that exactly 5 out of a convoy of 6 ships would arrive safely
Solution:
on an average one ship out of 9 sunk
=> p = 1/9
q = 1 - p = 1 - 1/9 = 8/9
n = 6
probability that exactly 5 out of a convoy of 6 ships would arrive safely
=> Exactly one ship sunk
P(x) = ⁿCₓpˣqⁿ⁻ˣ
=> P(1) = ⁶C₁(1/9)¹(8/9)⁵
=> P(1) = 6 (1/9) 8⁵/9⁵
=> P(1) = 6 x 8⁵ /9⁶
=> P(1) = 0.36995
=> P(1) = 0.37
0.37 is the probability that exactly 5 out of a convoy of 6 ships would arrive safely
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Answer:
During a war, on an average one ship out of 9 sunk in a certain voyage. Find the probability that exactly 5 out of a convoy of 6 ships would arrive safely