Section 4.2. Probability Distributions for Discrete RandomVariablesExercise 2. Determine whether or not the table is a valid probability distribution of adiscrete random variable. Explain fullya.0.250.500,350,100.30b.0.3250.4060,164C.260.2727280.18290,140.13Exercise 4. A discrete random variable X has the following probability distribution:240.17270.16200,220.250,20Compute each of the following quantitiesa. P(18)b. P(X> 18)c, P(X 18)d, The mean μ of Xe. The variance σ2 of Xf. The standard deviation σ of X

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Answered: Section 4.2. Probability Distributions…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
Quiz: Self-Check 3.2 This Question: 1 pt 5 of 8 (4 cor Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 3 4 Probability 0.662 0.212 0.083 0,022 0.013 0.008 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. 卫三 (Round to one decimal place as needed.) Find the variance of the probability distribution. (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. | (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. Click to selecCt your answer(S). Video Tuterial How to Find Probablitie T1-84. =earch
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Choose an American household at random and let the random variable ?X be the number of cars (including SUVs and light trucks) they own. Given is the probability distribution if we ignore the few households that own more than 5 cars. Number of cars 0 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02 About what percentage of households have a number of cars within 2 standard deviations of the mean?
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Three fair dice are rolled. Let the random variable X be the number of die that are showing a roll of 1. Complete the probability distribution table. X P(X=X 0 1 2 3 Find the mean of this probability distribution E(X)=
APX) 0.24- 0.2- 0.16 0.12- 0.08- 0.04- 0- 10 12 14 16 Write the normal probability for the shaded region of the graph and find its value. Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.) O A. P(4sxS8) =P(3.5sxs8.5) =| O B. P(4
The normal distribution curve can be used as a probability distribution curve for normally distributed variables. Group of answer choices False True
K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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