Answer:
The probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided here is:
<em>p</em> = 0.27
<em>n</em> = 423
As <em>n </em>= 423 > 30, the sampling distribution of sample proportion can be approximated by the Normal distribution.
The mean and standard deviation of the sampling distribution of sample proportion are:
Compute the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% as follows:
*Use a <em>z</em>-table.
Thus, the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.
Answer:
Step-by-step explanation:
we know that
If two figures are similar, the the ratio of its corresponding sides is equal
In this problem we have
smaller cone
larger cone
so
Answer:
{Red,Blue}
Step-by-step explanation:
Since the experiment consists of randomly drawing just a cube from a bag containing three red and two blue cubes, the outcome could be either a red or blue cube. Therefore the sample space is:
{Red,Blue}
Answer:
Therefore, the solution is:
Step-by-step explanation:
We calculate the given integral. We use the substitution t = 7x.
Therefore, the solution is:
Answer:
I believe the answer you are looking for is 81 y / 16z