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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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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A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. 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. Does the table show a probability distribution? Select all that apply. OA. H= adult(s) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. an example # 3 A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. D. No, the random variable x is categorical instead of numerical. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct choice below…
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Does the following table represent the probability distribution for a discrete random variable? Explain your answer.
5. (Solve using pen and paper) Cans of salmon are supposed to have a net weight of 6 oz. The canner says that the net weight is a random variable with mean m=6.05 oz. and stand. dev. s=.18 oz. Suppose you take a random sample of 36 cans and calculate the sample mean weight to be 5.97 oz. a. Find the probability that the mean weight of the sample is less than or equal to 5.97 oz.
random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17.0.23, 0.2.0.3.0.1 the expected value of y is 5 O a. True Ob. False
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?
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Part 2 Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.338 0.306 0.340 0.248 0.367 0.269 y 3.5 7.7 4.0 8.6 3.1 11.1 Σx = 1.868, Σy = 38, Σx2 = 0.592034, Σy2 = 294.32, Σxy = 11.1556, and r ≈ -0.901. Se ≈ 1.5890, a ≈ 26.420, and b ≈ -64.517. (a) Find the predicted percentage of strikeouts for a player with an x = 0.328 batting average. (Use 2 decimal places.) %(b) Find a 90% confidence interval for y when x = 0.328. (Use 2 decimal places.) lower limit % upper limit %
Find the mean and variance of the following discrete random variable distribution.? ?(?)0 0.35 1 0.45 2 0.16 3 0.04
On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution What is the probability of receiving more than three pieces of junk mail today? O a. 0.2939 O b. 0.2639 O c. 0.2693 d. 0.2369
Find the expected value for the random variable whose probability function graph is displayed here AP 0.5- 0.4- 0.3- 0.2- 0.1- 0- 1 2 34 5
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of home runs in a baseball game b. The last book a person in City A read c. The number of textbook authors now eating a meal d. The time it takes for a light bulb to burn out e. The square footage of a pool

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