# A hotel manager calculates that 12% of the hotel rooms are booked.If the manager is right, what is the probability that the proportion of rooms booked in a sample of 556 rooms would be less than 10%? Round your answer to four decimal places.

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A hotel manager calculates that 12% of the hotel rooms are booked.

If the manager is right, what is the probability that the proportion of rooms booked in a sample of 556 rooms would be less than 10%? Round your answer to four decimal places.

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Step 1

From the given information,

P be the probability that hotel rooms are booked = 0.12.

Sample size (n) =556,

By normal approximation of binomial,

Thus,

Step 2

So, probability that the proportion of rooms booked in a sample...

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