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A professor has learned that four students in her class of 18 will cheat on the exam. She decides to focus her attention on seven randomly chosen students during the exam.
a. What is the probability that she finds at least one of the students cheating? (Round your intermediate calculations and final answers to 4 decimal places.)
Probability
b. What is the probability that she finds at least one of the students cheating if she focuses on eight randomly chosen students? (Round your intermediate calculations and final answers to 4 decimal places.)
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Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Compute the probability. Be sure to draw a normal curve with the area curve with the area corresponding to the probability shaded.
Discuss examples where you would use test of hypothesis at your personal or professional life, in your education or society for the following situations:
You are given two boxes: one of them containing 900 red marbles and 100 blue marbles, the other one contains 500 red marbles and 500 blue marbles. If we pick one of the boxes randomly. and pick a marble what is the probability that it is blue? If we ..
Show all work, including justification for using the approximate model to find this probability. You may upload a picture as part of your supporting work if you wish.
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