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A multiple choice quiz involves 30 questions, each with 5 alternative answers. Each question is awarded...

A multiple choice quiz involves 30 questions, each with 5 alternative answers. Each question is awarded 10 marks if the correct answer is chosen, and 0 marks otherwise. Assume that one particular student answers the quiz by guessing, with a 1 in 5 chance of answering any single question correctly, independently of all other questions.

Let X be the total number of marks obtained by this student. The mean and standard deviation of X are:

Select one:

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