Problem 2: The number of items sold per day at a retail store, with its correspondingprobabilities is shown in the table. Find the variance and standard deviation of theprobability distribution.No. of items sold (X)P(X) X. P(X) X-p(X-(X-p). P(X)190.20200.20210.30220.20230.10

Answered: Image /qna-images/answer/59e1bf01-2328-45c7-93d4-23d0ae631984.jpg

Answered: Problem 2: The number of items sold per…

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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In the following probability distribution, X represents the number of calls a telemarketer makes in a day, and the probability they make that many calls. П. 75 0.05 X 100 50 0.01 125 150 175 P(X) 0.15 0.20 0.30 a) Find P(X=175) b) Find E[X] ( c) Find the Variance and Standard Deviation ofX
Question 32 Find the "mean" of the given probability distribution. X 024 6 P(x).05.17 .43 .35 3.10 3.75 4.76 04.16
Question 1 Let x be a continuous random variable that is normally distributed with a mean of 60 and astandard deviation of 9. Find the probability that x assumes a value between 55 to 75.
If the mean of the following probability distribution is 3.44, what is the variance?
Question 4
In an uncertain economy, Americans tend to keep spending down. Let x be the amount of money U.S. individuals spend on groceries monthly. Suppose the probability distribution of x is a uniform distribution from $300 to $400 which is represented by the picture below. f(x) 0.010 0.008 0.006 0.004 0.002 300 320 340 360 380 400 X i (a) What is the probability that a randomly selected individual spends between $315 and $370 on groceries each month? (b) Determine whether the following statement is true or false. The variable, the amount an individual plans to spend on groceries per month, is a numerical (quantitative) variable. True O False
Problem: In a large introductory statistics class, the score X of a randomly selected student on a test worth 50 points can be modeled by a Normal distribution with mean 35 and standard deviation 5. Due to a difficult question on the test, the professor decides to add 5 points to each student's score. Let Y be the scaled test score of the randomly selected student. Describe the shape, center, and variability of the probability distribution of Y. 193
1. The number of cellphones sold per day at a local cellphone shop, along with its corresponding probabilities, is shown in the table. Find the mean, variance and standard deviation of the probability distribution P(X) x P(x) x2 P(x) 1 0.15 2 0.35 3 0.40 4. 0.10 u = =x2 • P(x) = 2. Find the mean, variance and standard deviation of the probability distribution of the random variable X, which can take only the values of 1, 2, 3 and 4, given that P(1) = P(2) = 5 P(3) =; and P(4) = 5 %3D %3D %3D P(X) x P(x) x2 P(x) u = u = Ex2 • P(x) =
question number 1 only. thanks
Question 14: A bottling company uses a filling machine to fill plastic bottles with an orange juice. In fact, the contents of bottles vary according to a normal distribution with mean u = 298 ml and standard deviation a = 3 ml. The probability of bottles that contain less than 301.12 ml is equal to: (a) 0.0158. (b) 0.1492. (c) 0.8508 (d) None of the above.
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