Answer:

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