Consider the following discrete probability distribution.\[\begin{array}{|c|c|c|c|c|c|}\hlinex & 1 & 2 & 3 & 5 & 8 \\\hlineP(x) & 0.1 & 0.4 & 0.3 & 0.1 & 0.1 \\\hline\end{array}\]a. Graphically depict this probability distribution. (Draw a probability histogram.)b. What is the probability that the random variable \( x \) is between 4 and 10?c. What is the probability that the random variable \( x \) is less than 3? d. Construct a cumulative probability distribution.e. Compute \( E(X) \), the expected value of \( x \). Show your work with a table similar to the one on page 62 of the course packet or page 230 of the textbook. You can enter the numbers in Excel and use Excel to construct a table.f. Compute \( \sigma^2 \) (the variance of \( x \)) and \( \sigma \) (the standard deviation of \( x \)). Show your work with a table. Your answer in parts e and f can be in one table.

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Answered: Consider the following discrete…

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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help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working
Consider the following discrete probability distribution. x 33 34 35 36 37 38 39 40 P(x) 0.02 0.06 0.10 0.20 0.24 0.26 0.10 0.02 (a) Find the probability that the random variable x is at most 38. Don't round. (b) Find the probability that the random variable x is at least 35. Don't round.
For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX? xx P(x)P(x) 1 0.2077 2 0.0943 3 0.3281 4 0.1105 5 0.3232 A. yes B. noIs it correct answer B?
Question # 2 If P(B) = 0.05, P(A|B) = 0.70 and P(A|Bº) = 0.30, find P(B|A). Question # 3 Two fair dice are thrown. i. Given that a total score of al least 10 is obtained, what is the probability of at least one six occurring? ii. Consider the absolute difference, D, between the scores of the two dice. Provide the probability distribution of D.
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?
er Weapon Handgun Rifle Shotgun Unknown firearm Knives Hands, fists, etc. Other Probability 0.478 0.027 0.035 0.148 0.135 0.059 0.118 to 0 and less than or equal to 1, and the sum of the probabilities of all outcomes E 14 quiz
The following table lists certain values of x and their probabilities. Verify whether or not it represents a valid probability distribution. P(x) 0 0.31 1 0.30 2 0.19 3 0.16 The table a valid probability distribution.
A random variable Y is given with its probability distribution. Find the value of 100q. 1 3 3q q Y P(Y) 0 0.35 2 0.25 4 9
Dragon Dice is a tabletop game that uses modified dice to roll for the values 1, 2, 3 and 4 (note that the die is not fair). Let the random variable D represent the value of a single roll of the die. The table below represents the probability distribution for the random variable D. Determine the missing value so that the probability distribution is valid. x P(D=x) 1 2 0.26 3 0.34 4 0.28 True or False: The random variable D is a continuous random variable. Compute the probability that at most a 2 is rolled on a single roll of the die. On your turn, you attempt to capture a Giggling Goblin with a stomp attack using two dice. To capture the Giggling Goblin, you must roll a total of at least 5. On the first die roll you roll a 1. Choose the most correct statement concerning your chances of capturing a Giggling Goblin on this turn. Group of answer choices a. There is no way to capture a Giggling Goblin since P(D≥5)=0. b. There is a 28% chance to capture a Giggling…
Consider the following probability distribution. 2 3 6 7 4 5 P(x) 0.05 0.16 0.19 0.24 0.18 0.11 0.05 0.02 The probability that X is less than 4 is a. 0.82 O b. 0.46 Oc. 0.64 O d. 0.36
Answer number 3
Write up your results as you would see them in a research paper. Be sure that you include the means and standard deviations for each group in your write-up, as well as a sentence or two explaining the results

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