Please clear explanation of your answers. Thank you A Professor wishes to recrui
ID: 3218794 • Letter: P
Question
Please clear explanation of your answers. Thank you
A Professor wishes to recruit 5 students to participate in an experiment. Let p be the probability that a randomly selected student agrees to participate. What is the probability that 20 students must be asked before 5 are found who agree to participate? Explain your reasoning for your answer Your submission MUST be a single PDF file. If you find typing math text in word or latex hard, you can first write on a paper and copy a picture of your work in the PDF file -- it should be readable.Explanation / Answer
Probabity of student agreeing to particiate = p
proabity that 20 students must be asked before 5 are found who agree to participate = probabity that out of first 19 exactly 4 agrees to partcipate * probabity that 20 the student accepts to participate
probabity that out of first 19 exactly 4 agrees to partcipate = (19C4)p4*(1-p)15
probabity that 20 the student accepts to participate = p
proabity that 20 students must be asked before 5 are found who agree to participate = (19C4)p4*(1-p)15 *p
= (19C4)p5*(1-p)15