haninwaked2003 haninwaked2003

04-06-2023
Mathematics

Answered

Ira ran out of time while taking a multiple-choice test and plans to guess on the last 16 questions.
Each question has 4 possible choices, one of which is correct. Let X equals the number of
answers Ira correctly guesses in the last 16 questions.
a) Calculate the probability that exactly 16 of the answered questions are correct
b) Calculate the probability that at least 1 answer is false.
c) Calculate the probability that no more than 2 answers are false.
d) Calculate the mean, variance and standard deviation of number of correct answers.

Answer :

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