The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either early or late. If it leaves early this time then there is only a 15% chance that it would leave early the next time. On the other hand, if it leaves late this time then there is a 70% chance that it would leave early the next time. In the long run, what proportion of time does the bus leave early?
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- You are a paranoid delusional statistician with far too much time on your hands. One day, you sit down to have a bowl of soup. This bowl of soup happens to be Tic-Tac-Toe themed, meaning that you stir have some noodles that are shaped like an X, and some that are shaped like an O. As your soup, you notice that this bowl seems to have a particularly high number of X- you shaped noodles in it. Being paranoid, you conclude that this has some meaning-like someone is trying to give you a message, possibly warning you of the dangers of x-rays. You jump out of your seat and run to get your x-ray-proof cape, and then you pause for a moment and think that you should calculate a chi-square statistic for the frequency of X-shaped noodles before freaking out. First, you carefully separate each of the noodles by shape and count them. Here is what you find: Frequency of Noodles X-shaped O-shaped 33 21 1. What type of chi-square design is this (check one box)? OTwo-cell ОThree-cell OTwo-by-two…Wendy needs to get to an airport from a hotel. There is 0.19 chance that she calls a cab, there is 0.26 chance that she gets a Uber. If she cannot get a cab or Uber, she will take a shuttle. If she calls a cab, there is 0.19 chance that she could miss the flight. If she gets a Uber, the chance of missing flight is 0.34. If she takes the shuttle, the chance is 0.32. If Wendy misses the flight, what is the probability that she called a cab? (Round your answer to three decimal places)You are concerned that nausea may be a side effect of Tamiflu, but you cannot just give Tamiflu to patients with the flu and say that nausea is a side effect if people become nauseous. However, past research indicates that about 30% of people who get the flu experience nausea, and you believe that the percentage of those who experience nausea while having the flu and taking Tamiflu will be greater than 30%, which would indicate that nausea is a side effect of Tamiflu.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0H0: H1H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed
- For this question, similarly to #2, we want to look at how many college stadiums were built in the past 20 years. we know that 15% of stadiums have just been built in the past 20 years. how many stadiums out of the sample 20 would you expect to be built in the past 20 years? What is the probability that exactly 2 stadiums were built in the past 20 years? I see the expert answer has the equation as 190 x .0225 x.0536 = .2293. In doing the math myself i get .22914 so I'm wondering why the differenceThe gunner on the assault boat SS Minnie Chang fires six missiles at an attacking plane. Each has a 20% chance of being on target. If two or more shells find their mark, the plane will crash. At the same time, the pilot of the plane fires 10 surface-to-air rockets, each of which has a 0.05 chance of sinking the boat. If you want to live, would you rather be on the plane or on the boat?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.
- Professor Brown gives her students a maximum of three attempts to pass a final examination in her statistics course. She has found that the probability of passing on the first attempt is 0.40, the probability of passing the second attempt is 0.65 and the probability of not passing the third attempt is 0.15. Find the probability that a randomly selected student of hers will pass the final examinationSome electronic devices are better used than new: The failure rate is higher when they are new than when they are six months old. For example, 43.00% of the personal music players of a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 3.000% fail in the first six months. Yours died after you had it for three months. What are the chances that it has this flaw?A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (Dc ). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heavy smoker H)?
- Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10You are a paranoid delusional statistician with far too much time on your hands. One day, you sit down to have a bowl of soup. This bowl of soup happens to be Tic-Tac-Toe themed, meaning that you have some noodles that are shaped like an X, and some that are shaped like an O. As you stir your soup, you notice that this bowl seems to have a particularly high number of X- shaped noodles in it. Being paranoid, you conclude that this has some meaning like someone is trying to give you a message, possibly warning you of the dangers of x-rays. You jump out of your seat and run to get your x-ray-proof cape, and then you pause for a moment and think that you should calculate a chi-square statistic for the frequency of X-shaped noodles before freaking out. First, you carefully separate each of the noodles by shape and count them. Here is what you find: Frequency of Noodles X-shaped 33 O-shaped 21 2. Write out the null and alternative hypotheses using symbols: Но: На:A researcher is studying two types of medication that both treat hives. 23 out of the random sample of 270 adults given medication A still had hives 30 minutes after taking the medication. 15 out of another random sample of 300 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance. The correct hypotheses are: Ho:PA PB (claim) Ho :PA PB H A:PA < PB (claim) Но :РА На :РА # рв (claim) = PB Since the level of significance is 0.01 the critical value is 2.576 and -2.576 The test statistic is: 1.684 x (round to 3 places) The p-value is: 0.092 x (round to 3 places) The decision can be made to: