P= The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 40% chance it will be good tomorrow, a 30% chance it will be indifferent, and a 30% chance it will be bad. If the weather is indifferent today, there is a 50% chance it will be good tomorrow, and a 20% chance it will be indifferent. Finally, if the weather is bad today, there is a 10% chance it will be good tomorrow and a 30% chance it will be indifferent. The stochastic matrix for this situation is shown to the right. In the long run, how likely is it for the weather in Columbus to be indifferent on a given day? 0.4 0.5 0.1 0.3 0.2 0.3 0.3 0.3 0.6 In the long run, how likely is it for the weather in Columbus to be indifferent on a given day? % (Round to the nearest integer as needed.)

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)

A forensic psychologist conducted a study to examine whether being hypnotized during recall affects how well a witness can remember facts about an event. Eight participants watched a short film of a mock robbery, after which each participant was questioned about what they had seen. The four participants in the experimental group were questioned while they were hypnotized and the researcher recorded their accurate responses. The four participants in the control group (not hypnotized) were questioned and the researcher recorded their accurate responses. Here are the results: Accurate Recalled Responses Hypnotized Group 7 8 7 9 Control Group 9 8 11 7 a.) Do hypnotized witnesses perform differently than witnesses who are not hypnotized? Carry out a t-test for independent means (use the .05 significance level). Use the five steps of hypothesis testing. Label all the steps clearly. Show ALL Work/calculations. b.) Report the statistic in APA format (the statistical sentence). ,

If in a population 60% of people own an iPhone, 45% of people own an Android phone, and 37% own both types of phone. Are "owning an iPhone" and "owning an Android" independent outcomes? Cannot tell from the given information. Yes, they are independent. No, they are dependent.