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Q#1 Random Variable and Random Process GATE EC 2022 NAT +2 marks -0 marks

Consider a real valued source whose samples are independent and identically distributed random variables with the probability density function, , as shown in the figure.

Consider a 1 bit quantizer that maps positive samples to value  and others to value . If  and  are the respective choices for  and  that minimize the mean square quantization error, then  __________(rounded off to two decimal places).

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