The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation si
1 answer:
The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.
<h3>What is a normal distribution?</h3>It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.
Then the percentage of the snakes is longer than 16.6 in. will be
Then we have
More about the normal distribution link is given below.
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The variance of a distribution is the square of the standard deviation
The variance of the data is 2.2
<h3>How to calculate the variance</h3>Start by calculating the expected value using:
So, we have:
This gives
Next, calculate E(x^2) using:
So, we have:
The variance is then calculated as:
So, we have:
Approximate
Hence, the variance of the data is 2.2
Read more about variance at:
The value of the F(1) is 1/2 option (C) is correct after plugging the value of t = 1 in the provided function.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is attached in the picture please refer to the picture.
We have a function:
Plug t = 1
After solving:
F(1) = 1/2
Thus, the value of the F(1) is 1/2 option (C) is correct after plugging the value of t = 1 in the provided function.
Learn more about the function here:
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