benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--11808▌ posts · files
MMLU-Pro / 11808 / The probability density of a signal is given by f(x) = K e^-…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
The probability density of a signal is given by f(x) = K e^-\vertx\vertfor \vertx\vert < 4 and = 0otherwise (a) What is the step size S if there are four quanti-zation levels. (b) Find the value of the constant K. (c) Assume that there are four quantization levels and that f(x) is not constant over each level. Deter-mine the variance of the quantization error.
category
engineering
options
- Step size: 3; Constant K: 0.5093; Variance: 0.3739
- Step size: 2; Constant K: 0.8; Variance: 0.3739
- Step size: 2; Constant K: 0.5093; Variance: 0.7
- Step size: 2; Constant K: 0.4; Variance: 0.3739
- Step size: 1; Constant K: 0.5093; Variance: 0.5
- Step size: 2; Constant K: 0.5093; Variance: 0.3739
- Step size: 3; Constant K: 0.5093; Variance: 0.5
- Step size: 2; Constant K: 0.5093; Variance: 0.5
- Step size: 2; Constant K: 0.6; Variance: 0.25
- Step size: 4; Constant K: 0.2; Variance: 0.3739
src
stemez-ElectronicCommunications
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Source and history
- upstream_id / Original problem ID
- 11808
- task_id
436e1dcc-a0e8-5c8a-8f8a-665ac8f60e1b- task_key
default--test--11808- task_revision_id
- 1
- config / split
- default / test
initial import