The probability of a pregnancy lasting more than 308 days will be 0.0038
What is probability ?
Probability is the branch of mathematics concerning the occurrence of a random event and probability is synonymous with possibility, so you could say it's the possibility that a particular event will happen.
Let x be the length of pragnancy,
Then we need to find , P(x>308)
We can use the table of normal distribution so,
P(x>308) = P(x-268/15>2.67)
We know that ,
P(x-268/15 > 2.67) = 1 - P(x-268/15 < 2.67)
P(x-268/15 < 2.67) = 0.9962
So,
P(x-268/15 > 2.67) = 1 - 0.9962
P(x-268/15>2.67) = 0.0038
Therefore,
P(x>308) = 0.0038
The probability of a pregnancy lasting more than 308 days will be 0.0038
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