Suppose a two state experiment has the following transition matrix: P= 0.8 0.2 0.6 0.4 Answer the following questions: 1. Find P(4). 2. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the fifth observation? 3. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the third and fifth observation?

Suppose a two state experiment has the following transition matrix: P= 0.8 0.2 0.6 0.4 Answer the following questions: 1. Find P(4). 2. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the fifth observation? 3. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the third and fifth observation?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Example 2.4.6 A series of tests on a certain type of electrical relay, have revealed that in approximately 5% of the trials, the relay fails to operate under the specified conditions. What is the probability that in ten trials made under these conditions the relay will fail to operate one or more times?
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Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certain physician correctly diagnoses 94% of all adults over 50 with cancer as having the disease and incorrectly diagnoses 4% of all adults over 50 without cancer as having the disease. (i) Draw a tree diagram and label it with appropriate probabilities. (ii) Find the probability that a randomly-selected adult over 50 is diagnosed as not having cancer. (iii) Find the probability that a randomly-selected adult over 50 actually has cancer, given that he/she is diagnosed as not having cancer.
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C021 (page 7 of 30) - Google Chrome Lom/mod/quiz/attempt.php?attempt3D1766745&cmid%3D875122&page%3D6 ING SYSTEM (ACADEMIC) ss Statistics 1 || Spring21 Time left 1:18: Suppose all 8 possible outcomes of an experiment are equally likely and denoted as E, E2, E3, E4, E5, E6, E7, and Eg. If A = {E,, E4, E5), then find P(A). a. 0.375 O b. 0.625
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Neuroscience researchers examined the impact of environment on rat development. Rats were randomly assigned to be raised in one of the four following test conditions: Impoverished (wire mesh cage - housed alone), standard (cage with other rats), enriched (cage with other rats and toys), super enriched (cage with rats and toys changes on a periodic basis). After two months, the rats were tested on a variety of learning measures (including the number of trials to learn a maze to a three perfect trial criteria), and several neurological measure (overall cortical weight, degree of dendritic branching, etc.). The data for the maze task is below. Compute the appropriate test for the data provided below. Include solution. Thank you
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18.18 Colors of M&Ms. If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. a. Here are the probabilities of each color for a randomly chosen plain M&M produced at the New Jersey factory: Color: Blue Orange Green Yellow Red Brown Probability: 0.250 0.250 0.125 0.125 0.125 ? What must be the probability of drawing a brown candy? b. The probabilities for plain M&Ms produced at the Tennessee factory are a bit different. Here they are: Color: Blue Orange Green Yellow Red Brown Probability: 0.207 0.205 0.198 0.135 0.131 ? What is the probability that an M&M chosen at random from the Tennessee factory is brown? c. What is the probability that a plain M&M from the New Jersey factory is any of blue, yellow, or orange? What is the probability that a plain M&M from the Tennessee factory has one of these colors?