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In: Statistics and Probability

A white noise generator produces combinations of 5 unique frequencies randomly picked from frequencies ranging between...

A white noise generator produces combinations of 5 unique frequencies randomly picked from frequencies ranging between 100Hz to 2000Hz in intervals of 100Hz (that is, a total of 20 available frequencies: 100Hz, 200Hz,…,2000Hz). The generator resets the frequency choices every time it is turned off and restarted. If this white noise generator is used 10 times,

a. What is the probability that none of the of the selected 5 frequencies are less than or equal to 1000 Hz?

b. What is the probability that out of the 5 frequencies, 3 are less than or equal to 1000 HZ in at least 5 of the 10 trials?

Please write neatly, thanks.

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