A student takes a multiple choice exam with 10 questions, each with four possible selections for the answer.  A passing grade is 60% or better.  Suppose that the student was unable to find time to study for the exam and just guesses at each question.  Find the probability that the student (Please break it down) Gets at least one question correct Passes the exam Receives an “A” on the exam (90% or better) How many questions would you expect the student to get correct? Obtain the standard deviation of the number of questions that the student gets correct

Find the indicated probability. A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?

In a blood testing procedure, blood samples from 6 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.08, what is the probability that the mixture will test positive? Give your answer as a percent rounded to the nearest tenth of a percent.

60% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 36 bald eagles are randomly selected, find the probability that Exactly 19 of them survive their first year of life.

At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Approximately 2 percent of Americans ages 50-60 have lung cancer. A patient with lung cancer has a 91 percent chance of a positive test. A patient without lung cancer has a 8 percent chance of a positive test (a false positive result). Complete the table below, then answer the questions below the table. Give all answers as decimals to 4 decimal places.   Positive test result Negative test result Total Has lung cancer          Does not have lung cancer          Total         What is the probability a patient has lung cancer given that she just had a positive test?     Give answer as decimals to 4 decimal places.

Find the probability by using the table from the lesson or an online resource. What is the probability of a z score greater than -0.02?

Larry and Curly decide to have a chess match. The probability of Larry winning is 0.4. Each time Larry wins, he gains confidence and the probability of winning the next game increases by 0.1. Each time he loses, his confidence goes down and his probability of winning the next game decreases by 0.05. Determine the probability that in a three game match Larry wins at least two games.   please write clearly thank you.