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Statistics for Data Science II · Quiz 1 · 11 Jul 2021 · May 2021 term · Set POD21QZBQPA

Question 3: Suppose the number of errors in 5 transmissions are x1 = …

Question 3

+1.5 marksNumerical answer

Use the following information to answer the given subquestions.
Consider 4 bits, where each bit can be either 0 or 1, transmitted over a noisy channel, i.e., there is a possibility of error. The probability of 1 bit getting changed is p, independent of all other bits. Let the random variable X denote the number of bits that changed.

Suppose the number of errors in 5 transmissions are x1 = 0, x2 = 1, x3 = 0, x4 = 2, x5 = 0: Find the Maximum likelihood estimate for p. Enter the answer correct to two decimal places.

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Correct answer: 0.15

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Question 3 of 19 in the IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 1 paper sat on 11 Jul 2021, in the May 2021 term (IIT M QUIZ EXAM POD21QZBQPB AN 11 July 2021). It carries 1.5 marks.

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