In small town there are three different types of whether conditions: sunny day, rainy day, and windy day. A sunny day never happens two days in a row. If it is a sunny day, it is as likely to have a rainy day or windy day the next day. If it is a windy day or rainy day, it has an even chance of having the same conditions next day. For the other 50%, it is two times more likely to have a bad weather conditions than a sunny day.

Three cowboys Doc Holiday, Wyatt Erp, and Wild Bill are locked in a 3-way duel. When the churchbell rings at high noon, all three will draw their guns and fire one shot simultaneously. A hit is registered if a shooter is hit by either of the other two cowboys.  Doc Holiday will randomly aim and fire at either Wyatt Erp or Wild Bill, with an even split probability of 0.5 of who he'll shoot at. Being a good shot, he has a 60% chance of hitting the target he fires at.  Wyatt Erp will randomly aim and fire at either Doc Holiday or Wild Bill, with an even split probability of 0.5 of who he'll shoot at. Also a good shot, he has a 60% chance of hitting the target he fires at.  Wild Bill will randomly aim and fire at either Wyatt Erp or Doc Holiday, with an even split probability of 0.5 of who he'll shoot at. Being a poor shot, he only has a 30% chance of hitting the target he fires at.  Let X denote the number of cowboys that are hit after all three take one shot at the same time. a) What are…

In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 9% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.)(a) in 1 month:nonsmokers:1 pack/day or less:more than 1 pack/day:(b) in 2 months:nonsmokers:1 pack/day or less:more than 1 pack/day:(c) in 1 year:nonsmokers:1 pack/day or less:more than 1 pack/day:

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. a. What is the stochastic matrix, P, for this situation? b. Suppose there is a 10% chance of good weather today and a 90% chance of indifferent weather. What are the chances of bad weather tomorrow? c. Suppose the predicted weather for Monday is 40% indifferent weather and 60% bad weather. What are the chances for good weather on Wednesday? a. Create the stochastic matrix, P, where G is good, I is indifferent, and B is Bad. From: GIB a (Simplify your answers.) To: G

June is a student taking a statistics course. Unfortunately, June is not a diligent student.  She does not read the textbook before or after class, does not do homework, and regularly misses class.  She intends to rely on luck to pass the next quiz.  The quiz consists of 10 multiple-choice question.  Each question has five possible answers.  Only one of the answers is correct, so the probability of choosing the correct answer is 0.20.  June plans to guess the answer to each question independently.  Let �  be the number of correct answers on June’s quiz.   What is the standard deviation of correct answers for June? Group of answer choices 8 2 1.26 1.14 None of These

candy industries take random samples from their inventory and sort by flavor. daycare center samples a number of those they take care of and sort by how often they cry during a day visit. If you randomly select a candy from the candy sample and  a child in daycare from the daycare sample, what is the probability that you'd pick a grape taffy and a child who cries more than twenty times a day?

In a recent year, the percentage of patients at a doctor's office who received a flu shot was 60%. A campaign by the doctors and nurses was designed to increase the percentage of patients who obtain a flu shot. The doctors and nurses believed there was an 80% chance that someone who received a shot in year 1 would obtain a shot in year 2. They also believed that there was a 40% chance that a person who did not receive a shot in year 1 would receive a shot in year 2. Complete parts (a) through (c) below. (a) Give the transition matrix for this situation. Set up the transition matrix P so that the first row and first column represent obtaining a flu shot and the second row and second column represent not obtaining a flu shot. P = (Type an integer or decimal for each matrix element.)

A small computer lab has 2 terminals. The number of students working in this lab is recordedat the end of every hour. A computer assistant notices the following pattern:- If there are 0 or 1 students in a lab, then the number of students in 1 hour has a50-50% chance to increase by 1 or remain unchanged. - If there are 2 students in a lab, then the number of students in 1 hour has a 50-50%chance to decrease by 1 or remain unchanged.  (a) Write the transition probability matrix for this Markov chain.(b) Suppose there is nobody in the lab at 7 am. What is the probability of nobody workingin the lab at 10 am?

You are interested in the number of people that will visit your restaurant in the noon hour. Historically, there is a 10% chance that more than 10 customers will visit, a 30% chance that more than 8 customers will visit, a 50% chance that more than 6 customers will visit, a 80% chance that more than 4 customers will visit, and a 95% chance that at least 2 customers will visit during the noon hour. What is the probability that 4 or less customers will visit the restaurant -- the number required to break even financially for the day?Express your answer as a percent value. So if your answer is 100% for example, enter 100. Round your answer to the nearest percent.