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1. Suppose that whether or not it rains today depends on previous weather conditions through the last three days. Show how this system may be analyzed by using a Markov chain. How many states are needed?
2. In Q1, suppose that if it has rained for the past three days, then it will rain today with probability 0.8; if it did not rain for any of the past three days, then it will rain today with probability 0.2; and in any other case the weather today will, with probability 0.6, be the same as the weather yesterday. Determine P for this Markov chain.
A food processor wants to know whether the probability is really 0.60 that a customer will prefer a new kind of packaging to the old kind. If, in a random sample, 7 of 18 customers prefer the new kind of packaging to the old kind, test the null h..
Eleven athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-party finisher. Assume that there are no ties. In how many po..
What does it mean to say that a particular value of x has a z-score of -2.1?
a national sample of 2728 adults aged 18 and older surveyed over the telephone using bother landlines and cell phones
It was reported that approximately 45% of all university professors are extroverted. Suppose you have classes with 6 different professors. What is the probability that all 6 are extroverts?
A multiple-choice test consists of 7 questions. Each question has answer choices of a, b, c, and d, and only one of the choices is correct. If a student randomly guesses on each question, what is the probability that she gets more than 1 of them c..
1. the area between z 0 and z 0.8 under the standard normal curve is?round to four decimal places2. for the standard
What is the probability of randomly sampling 140 women 16 years of age or older and getting 35 or more who do volunteer work? What is the probability of getting 21 or fewer from this group?
Plot the scatter diagram using the crude birth rate as the Y variable and GDP per capita as the X variable from the data given in Problem.
Determine the range and standard deviation of the times.
It was found there was a .45 probability that an employee had 2 weeks of vacation. Suppose you randomly pick 20 employees, what is the probability that 8 employees have 2 weeks of vacation?
Find the probability that in a given month a) there are exactly 9 days with 0.01 inch or more precipitation, b) there are at most 9 days.
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