Atest consists of 10 true/false questions. to pass the test a student must answer at least 88 questions correctly. if a student guesses on each question, what is the probability that the student will pass the test? round to three decimal places.

The probability that the student is going to pass the test is 0.0545

Step-by-step explanation:

The variable that says the number of correct questions follows a Binomial distribution, because there are n identical and independent events with a probability p of success and a probability 1-p of fail. So, the probability of get x questions correct is:

Where n is equal to 10 questions and p is the probability of get a correct answers, so p is equal to 1/2

Then, if the student pass the test with at least 8 questions correct, the probability P of that is:

P = P(8) + P(9) + P(10)

P = 0.0439 + 0.0097 + 0.0009

P = 0.0545

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yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled