Determine the probability of guessing less than 11 questions correct on an exam that contains 15 multiple choice questions, where the chance of guessing a question correct is .5

Hint: This is a Binomial distribution (please see lecture 5.2 Example of marble for the reason). Let X=number of questions guessing correctly out of 15, we are asking for P(X<11)=1-P(X>=11), with P=0.5 and n=15.

Round all answers to 4 decimal places