Plz tell me the correct answer
2 answers:
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Answer: <em><u>157 tickets </u></em>
Explanation:
The people not showing up for the flight can be treated as from Binomial distribution.
The binomial distribution B(n, p) is approximately close to the normal i.e. N(np, np(1 − p)) for large 'n' and for 'p' and neither too close to 0 nor 1 .
Now, Let us assume 'n' = n
and we are given
p=0.15
So now B(n,0.15n) follows Normal distribution
u=n
= 0.15n
We have to calculate P(X<144) with 99% accuracy
P(X<144) = P(Z<z)
where;
z=
z score for 99% is 2.33
i.e.
solving this we will get one root nearly equal to 157 and other root as 133
<u><em>Hence the answer is 157.</em></u>