Half of the passengers who travel to London buy the

Layne Massey

Layne Massey

Answered question

2022-02-13

Half of the passengers who travel to London buy the Daily

Answer & Explanation

mixtyggc

mixtyggc

Beginner2022-02-14Added 15 answers

Step 1
We can look at this question by looking at the binomial probability general form:
k=0nCn, k(p)k((p)nk)
The probability that any one passenger bought a paper (p) is 12. This means that the probability of a passenger not buying a paper (-p) is also 12.
There are 8 passengers per compartment
(n=8)
We can expand the general form to show all the possibilities of paper purchases, from 0 passengers buying to all 8 buying.
We are looking specifically at 3 passengers buying the paper (and so k=3):
C8, 3(12)3(12)5
=(8!3!5!)(18)eft(132)=568×32
=0.21875

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