THERE IS A 086 PROBABLITY THAT MATH STUDENTS WILL CORRECTLY

THERE IS A 0.86 PROBABLITY THAT MATH STUDENTS WILL CORRECTLY FOLLOW ALL INSTRUCTIONS ON THE FINAL EXAM. WHAT I IS THE PROBABILITY THAT EXACTLY 86 OF 100 STUDENTS TAKING THE CLASS IN A PARTICULAR TERM WILL FOLLOW ALL FINAL EXAMS INSTRRUCCTIONS? ROUND ANSWER TO THE NEAREST TEN THOUSANDTH. SHOW WORK.

Solution

given p =0.86

q =0.14

n = 100

P[X=86] =(100 C 86)(0.86)^86(0.14)^14 = 0.1142