Which one of the following numbers is an irrational number?
2 answers:
Answer:
B.
Step-by-step explanation:
We are asked to find irrational number from our given choices.
We know that a number is irrational, when it can not be written as a fraction.
We also know that repeating decimals are also rational numbers.
Upon looking at our given choices, we can see that option A is a fraction, therefore, it is a rational number.
Options C and D has repeating decimals, therefore, they are rational as well.
Option B has non repeating and non-terminating decimal, therefore, is an irrational number.
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The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.
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:
μρ=ρ
The standard deviation of this sampling distribution of sample proportion is:
σρ=
The information provided is:
n = 533
p = 0.09
As the sample size is quite large, i.e. n = 533 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.
The mean and standard deviation are:
μρ=ρ=0.09
σρ==
Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows:
Thus, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.
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