eliza35

05.05.2021 • 

Mathematics

A simple way to reduce noise is to perform what is called a moving average filter on a signal. Mathematically, the moving average filter is a discrete-time random process described by Y _n = 1/L sigma^n_k = n - L + 1 X_k
where X_k are the original input random process needing noise reduction. Assume that the process X_k is IID and has mean 2 and variance 3.
a. Find the mean and variance of Y_n for L = 12.
b. Based on the Central Limit Theorem, write an expression for the PDF of Y_n.
c. How large should L be to have the variance Y_n be less than 0.1?
d. For the value of L computed in part (c), what is Pr [|Y_n - E{Y_n}|] > 0.1?

Ответ:

tangia

12.08.2021

Mathematics

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This table shows a linear progression. Therefore, you can divide the total words typed by minutes to find the average words per minute Mrs. Garcia types. The table already gives you the words per minute, as it shows that Mrs. Garcia types 70 words in a minute. This is your average wpm.

To find the amount of words she types in a minute, multiply 49 minutes by the average wpm Mrs. Garcia types.



Mrs. Garcia can type 3430 words in 49 minutes.

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