1. If X ~ B (n, p) with E (X) = 3 and V (X) = 2.4) calculate P (X> = 3) 2.An aptitude test consists of 10 questions with five alternatives each, of which one is correct. a. If a student answers each random test question, what is the average number of successful questions? b. What is the probability of answering at least one question correctly? c. If the qualification is done as follows: Each question well answered is worth 2 points. K points are discounted for each wrong answer. Determine the value of k so that the expected grade of a student who answers the 10 questions at random is zero.

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1. If X ~ B (n, p) with E (X) = 3 and V (X) = 2.4) calculate P (X> = 3)

2.An aptitude test consists of 10 questions with five alternatives each, of which one is correct.


a. If a student answers each random test question, what is the average number of successful questions?

b. What is the probability of answering at least one question correctly?

c. If the qualification is done as follows: Each question well answered is worth 2 points. K points are discounted for each wrong answer. Determine the value of k so that the expected grade of a student who answers the 10 questions at random is zero.

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