7. Police plan to enforce speed limits by using radar traps at 4 different locationswithin the city limits. The radar traps at each of the locations A, B, C, and D areoperated 40%, 30%, 20% and 30% of the time, and if a who is speeding on his wayto work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing throughthese locations, what is the probability that he will receive a speeding ticket?

Answered: Image /qna-images/answer/5a695c84-5af6-42b0-8cf4-9495c8779cd5.jpg

Answered: 7. Police plan to enforce speed limits…

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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1. Consider the gambler's ruin problem. Alice starts with £a; her opponent Bob starts with £(ma). In each round, Alice wins £1 from Bob with probability p, or loses £1 to Bob with probability q = 1 - p. Alice ruins if she is reduced to £0; Bob ruins if he is reduced to £0, which means Alice would have £m. Let X denote the amount of money in pounds that Alice has after n rounds. Consider the stochastic process (✗n). pri+1ri+gri-1 = 0 for i = 1, 2,..., m — 1, Assuming p, solve the linear difference equation in part (c), to show that the ruin probability is pm - pa ra pm 1 ' where you should identify p in terms of p and q.
2. All of Dave's customers are neighbors that have yards of about the same size. Dave charges a flat rate of $32 for mowing and trimming and $20 for just mowing. Based on experience, he determines that the probability that a randomly selected customer wants him to mow and trim the lawn is 0.85; the rest of his customers just want him to mow. Let C= the amount Jacob charges a randomly selected customer. (a) Make a table that shows the probability distribution of C. (b) Calculate and interpret the mean of C. (c) Calculate and interpret the standard deviation of C. opp
There are three kinds of vegetation in an ecosystem: grass (G), shrubs (S), and trees (T) (Bodine, Lenhart, and Gross 2014). Every year, 25% of grassland plots are converted to shrubs, 20% of shrub plots are converted to trees, 8% of trees are converted to shrubs, and 1% of trees are converted to grass; the other transition probabilities are 0. Calculate the probability of a plot of land have the following succession of vegetation from year to year: GSGG, taking the first state as given. (type three digits after the decimal).
Please show your answer and explain it. DO ONLY PROBLEM 53
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07. A communications system consists of n components, each of which will, independently. function with probability p. The total system will be able to operate effectively if at least one- half of its components function. For what values of p is a 3-component system more likely to operate effectively than a 2-component system?
4. A merchant stocks a certain perishable item. He knows that on any given day, he will have a demand for either 2, 3, or 4 of this items with probabilities 0.1, 0.4 and 0.5 respectively. What is the average daily demand?
Selecting the Appropriate Inferential Test: For each of the studies below, please identify the following (or indicate N/A "not applicable" if the feature is not relevant to the design): a) Independent Variable(s) (IVs) and # of levels for any IVs (for Correlation/Regression, identify the predictor and predicted variable rather than IV and DV) b) Dependent Variable (DV) c) Scale of Measurement for the Dependent Variable: (Nominal, Ordinal, Interval, Ratio) for Correlation/Regression please make sure you identify the scale of measurement for both variables d) Appropriate Statistical Test (If it is a Factorial ANOVA, make sure to name the design: e.g., 2 X 2, 2 X 3, etc.)
9b. Answers must be in 4 decimal places with correct units and complete solution.
Students in a class like to secretly use online calculators in their quizzes. There are three such online calculators favoured amongst the students: WolframAlpha (WA), Symbolab (S), and GeoGebra (GG). A student's favourite calculator changes from quiz to quiz according to the following rules: If a student likes WA best, then it is has a 50% chance of remaining their favourite for the next quiz; 25% of becoming S for the next quiz; and 25% of becoming GG for the next quiz. If a student likes S best, then it has a 50% chance of becoming WA for the next quiz, and a 50% chance of becoming GG for the next quiz. If a student likes GG best, then it has a 33.3% chance of becoming any of the three calculators for the next quiz. For the first quiz, there are 120 who count WA as their favourite; 80 who count S as their favourite; and 50 who count GG as their favourite. What is true about the fourth quiz? Choose one of the following: 1. 115 students favour WA; 52 students favour S; and 83…
1. The picture's river has floodgates at points A, B, C and D. The probabilities of each of the floodgates being open (a requirement for water to pass through) are the following: A: 94%, B : 96%, C: 91%, D: 97% The probabilities of the floodgates being open are independent. What is the probability that the water from the leftmost point in the picture will reach the sea on the right? C D B THE SEAL

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