Question

A student is taking a​ multiple-choice exam in which each question has five choices. Assuming that she has no knowledge of the correct answers to any of the​ questions, she has decided on a strategy in which she will place five balls into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are six multiple-choice questions on the exam. Complete parts​ (a) through​ (d) below.a. What is the probability that she will get six questions​ correct?​(Round to four decimal places as​ needed.)b. What is the probability that she will get at least five questions​ correct?​(Round to four decimal places as​ needed.)c. What is the probability that she will get no questions​ correct?​(Round to four decimal places as​ needed.)d. What is the probability that she will get no more than two questions​ correct?

Answer 1

Answer:

Step-by-step explanation:

A student is taking a​ multiple-choice exam in which each question has five choices. Assuming that she has no knowledge of the correct answers to any of the​ questions, she has decided on a strategy in which she will place five balls into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are six multiple-choice questions on the exam. Complete parts​ (a) through​ (d) below.a. What is the probability that she will get six questions​ correct?​(Round to four decimal places as​ needed.)b. What is the probability that she will get at least five questions​ correct?​(Round to four decimal places as​ needed.)c. What is the probability that she will get no questions​ correct?​(Round to four decimal places as​ needed.)d. What is the probability that she will get no more than two questions​ correct?