a test consists of 10 true false questions to pass a test a student must answer at least six questions correctly if a student guesses on each question what is the probability that the student will pass the test A. 0.172 B. 0.205 C. 0.828 D. 0.377

And using the probability mass function we got:

And adding the values we got:

The best answer would be:

D. 0.377

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

The probability mass function for the Binomial distribution is given as:

Where (nCx) means combinatory and it's given by this formula:

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

And using the probability mass function we got:

And adding the values we got:

The best answer would be:

D. 0.377

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

75%

step-by-step explanation: