A sample in which each individual in the population has an equal chance to be selected is a "simple random sampling".
<h3>
What is simple random sampling?</h3>
A subset of such a statistical population called a simple random sample is one where each member has an equal chance of being chosen. A straightforward random sample is intended to offer an objective depiction of a group.
Some key features of simple random sampling are-
- A straightforward random sample, where each participant has an equal chance of being selected, selects a tiny, random piece of the total population that will represent the full data set.
- Using techniques like lottery or random draws, researchers can generate a straightforward random sample.
- If a sample does not precisely reflect the population it really is intended to represent, there may have been a sampling error.
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Using the normal distribution, it is found that the value of x is of 3.585.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X
In this problem, the mean and the standard deviation are given, respectively, by
.
The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:




Hence the value of x is of 3.585.
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The answer is 65. you wouldn’t square it because the square root sign is still there. therefore the answer is square root of 65. you would be correct if the question was asking for the answer in the simplest form.
Answer:
A = 95.03in² or 95.03 ( rounded to the nearest hundredth )
Step-by-step explanation:
The approximate area of a circle that has a diameter of 11 inches, rounded to the nearest hundredth is 95.03.
Formula: A=1/4πd²
A=1
4πd^2=95.03.
4·π·11^2≈95.03318in²