Final Exam 2019-2020.pdf - Final Exam Probability and Statistics Time 90 minutes Full Name Student ID 1(4 points Two fair six-sided dice are thrown and

# Final Exam 2019-2020.pdf - Final Exam Probability and...

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Final Exam: Probability and Statistics Time: 90 minutes Full Name: Student ID: 1. (4 points) Two fair six-sided dice are thrown and the numbers obtained are noted. Event S is “The sum of the numbers is even”. Event T is “The sum of the numbers is either less than 6 or a multiple of 4 or both”. Determine whether the events S and T are independent. 2. (4 points) Alice travels to work by bicycle 70% of the time and by scooter 30% of the time. If she uses her bicycle she is late 3% of the time but if she uses her scooter she is late only 2% of the time. 1. Draw a fully labeled tree diagram to illustrate this situation. 2. Find the probability that Alice is late for work on any particular day. 3. (4 points) The probability density function of X , the lifetime of a certain type of electronic device (measured in hours), is given by f X ( x ) = 10 /x 2 x > 10 0 x 10 a. Find P ( X > 20)? b. What is the probability that of 6 such types of devices at least 3 will function for at least 20 hours?  #### You've reached the end of your free preview.

• Fall '14
• LuisDavidGarcia-Puente
• Normal Distribution, Probability distribution, Alice
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