(Solved): Question #4: Binomial Distribution (12 points - 4 points each) Mary's Final Exam for Psychology has ...

Question #4: Binomial Distribution (12 points - 4 points each) Mary's Final Exam for Psychology has 10 True/False questions and 10 multiple choice questions with 4 choices for each answer. Assuming Mary randomly guesses on every question: \( \star * \) Write answers using 3 decimal places** a.) What's the probability that she gets at least 7 of the 10 true/false questions correct? b.) What's the probability that she gets at least 5 of the 10 multiple choice questions correct? c.) If the multiple choice questions had 5 choices for answers instead of 4 , what's the probability that she gets at least 5 of the 10 multiple choice questions correct? Standard Normal Curve: a.) Find the area under the Standard Normal curve to the left of \( z=1.24 \quad \) (use 4 decimal places) b.) Find the area under the Standard Normal curve to the right of \( z=-2.13 \quad \) (use 4 decimal places) c.) Find the z-value that has \( 87.7 \% \) of the total area under the Standard Normal curve lying to the left of it. d.) Find the z-value that has \( 20.9 \% \) of the total area under the Standard Normal curve lying to the right of it.