1.Determine the probability of guessing at least 11 questions correct on an exam that contains 15 multiple choice questions, where the chance of guessing a question correct is .5, round to at least 4 decimals in all of your calculations.

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

2.Determine the probability of making at least 7 free throws out of 10 attempts, where the chance of making any single free throw is .65.

Hint:Hint: This is a Binomial distribution (please see lecture 5.2 Example of marble for the reason).Let X=number of chance making single free throw out of 10, we are asking for P(X>=7), with P=0.65 and n=10.