The probability distribution of a random variable X is given in. the followingtable:XP(X=x)-30.1O0.110.3a. Draw the histogram of the probability distribution.b. Compute the expected value of X.c. Compute the standard deviation of X.d. Compute P(X=-1).20.5

The probability distribution of a random variable X is given in. the following…

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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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Suppose that the random variable x, shown below, represents the number times. P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 43 x P(x) = 0 1 2 3 > Next Question 4 5 6+ 0.2951 0.2587 0.1924 0.1604 a) What is the probability that a randomly selected person has received five tickets in a three-year period? P(x = 5) 0.0492 0.0442 0.0000 b) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = c) What is the probability that that a randomly selected person has received more than zero tickets in a three- year period? P(x > 0) d) What is the probability that that a randomly selected person has received one or less tickets in a three-year period? P(x ≤ 1) =
A) Complete the Table x P(X = x) x · P(X = x) 0 0.3 1 0.4 2 3 0.2 B) Find the probability that X = 2. C) Find the expected value
A maze has 25 possible paths. Let x represents the number of paths a subject tries in order to traverse the maze. Find the man and the standard deviation of the probability using Excel.
Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -4,-2,3,5, and 6.
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?
Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. O A. O B. The table does not show a probability distribution. X P(x) 0 0.362 1 adult(s) (Round to one decimal place as needed.) 3 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. ☐B. No, not every probability is between 0 and 1 inclusive. C. No, the random variable x is categorical instead of numerical. D. No, the random variable x's number values are not associated with probabilities. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct…
Find the probability functions for the following: a. X + Y b. XY c. X/Y
Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 1, 2, 4, 5, and 6. Value x of X P(X = x) %3D 1 0.10 2. 0.20 4 6. 0.28

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The probability distribution of a random variable X is given in. the following table: X P(X=x) -3 0.1 0 0.1 1 0.3 a. Draw the histogram of the probability distribution. b. Compute the expected value of X. c. Compute the standard deviation of X. d. Compute P(X=-1). 2 0.5