What is the probability that Michael will answer at least 55 questions correctly

Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $500 if she gets at least 17 questions right. The questions are multiple choice and the probability of her getting a question right is 0.75 on each question of the final exam. What is the probability that she gets exactly 17 questions right? What is the probability that she gets at least 17 questions right?

June is a student taking a statistics course. Unfortunately, June is not a diligent student.  She does not read the textbook before or after class, does not do homework, and regularly misses class.  She intends to rely on luck to pass the next quiz.  The quiz consists of 10 multiple-choice question.  Each question has five possible answers.  Only one of the answers is correct, so the probability of choosing the correct answer is 0.20.  June plans to guess the answer to each question independently.  Let �  be the number of correct answers on June’s quiz.   What is the standard deviation of correct answers for June? Group of answer choices 8 2 1.26 1.14 None of These

Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places.   The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is    .