You play a game of chance in which you can either win or lose (there are no other possibilities). The probability of winning is 0.12. On average, how many games we have to expect until we get the first win?

About two events A and B, we know that A occurs with 32% probability and B with 15% probability. It is also known that both intersect at the same time with a probability of 10%. Examine whether A and B are independent events.

Saved Listen             Question 1 options: Nova has a pop quiz with 9 multiple choice questions. Each question has 3 answer options. Assume that Nova randomly guesses on every question. Find the probability that Nova passes the test with a score of 70% or more. Round to the nearest tenth of a percent (1 decimal place percent).       Question 2    Saved Listen             Question 2 options: The chance of an email being spam is 44%. If you receive 33 emails in a single day, find the probability that exactly 14 of them are spam. Round to the nearest tenth of a percent (1 decimal place percent).       Question 3 The sensitivity of a medical test is the true positive rate. In other words, the sensitivity is the probability that a person with the condition is correctly identified as having it. The specificity of a test is the true negative rate. In other words, the specificity is the probability that a person without the…

Your car is making a funny noise. You believe that the problem is either with the wheel or the axle, and you believe the probability is 0.3 that the wheel needs to be replaced, and 0.7 that the axle needs to be replaced. You need to decide whether to replace the wheel or the axle first. The cost of each alternative is given in the following table (if you decided to replace the wrong part first, you have to replace both of them). The Wheel is broken p = 0.3 The Axle is broken p = 0.7 Replace Wheel First Replace Axle First 600 1500 1500 900 a) Find the EV of each decision alternative. Which part should you replace first? b) What is the EVPI?