A survey of holiday accommodation in New Zealand shows that in Auckland, excluding caravan parks and camping grounds, 42% were full (i.e. had no vacancies). A random sample of 25 holiday accommodation...

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A survey of holiday accommodation in NewZealand shows that in Auckland, excluding caravan parks and camping grounds,42% were full (i.e. had no vacancies). A random sample of 25 holidayaccommodation facilities (of the same capacity) in Auckland is selected atrandom. Assume the probability that a particular holiday accommodation facilityis full is 0.42.

(a) What is the probability that at most 10of these are full?

(b) What is the probability that no morethan

15 of these are full?

(c) What is the probability that less thanone quarter of them are full?

Answered 12 days AfterMay 04, 2022

Answer To : A survey of holiday accommodation in New Zealand shows that in Auckland, excluding caravan parks and...

Parvesh answered on May 17 2022
12 Votes
Here, we will use normal approximation to binary distribution.
Here, n=25, p=0.42 and q=1-p=1-0.42
=0.58
Mean=np=25*0.42=10.5
sd=sqrt(npq)=sqrt(25*0.42*0.58)=2.47
Let X be random variable showing number of full accommodation facility.
(a) We have to find P(X<=10)
By continuity co
ection,

...
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