FINAL EXAM Department of Mathematics Texas A&M; University-Kingsville Max Marks

Question

FINAL EXAM Department of Mathematics Texas A&M; University-Kingsville Max Marks 100 Course Stat 4303 lax Time 150 mi lass Hours: otal pages 14 Data generating code (DGC): It consists of first non-zero digit and the last two digits of your K- ID. Please write down your DGC here Note: Keep accuracy up to at least four decimal places. (One question with minimum score will be dropped) Question 1. (ONLINE DEGREE MAY BE FUN Amy sits in an online examination for a statistics course. In the examination, there are 15 questions and each question has four choices. Amy prepared very well, so the chance, p, of picking DGC +500 a correct choice for a question is equal to DG times the chance, q, of picking a wrong choice for the same question. What is the probability she will attempt exactly ten questions correctly? Hint: Apply binomial distribution. FY nmmuters on computer

Explanation / Answer

Ans 1

(441+500)/441 = 2.13

P(picking a correct answer ) = 2.13/(2.13+1) = 0.68

P(exactly 10 out of 15 correct ) = C(15,10) * (0.68^10)*(0.32^5) = 0.213

PS: We are directed to solve only first if multiple questions are posted

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