1. The number of cellphones sold per day at a local cellphone shop, along with its corresponding probabilities, is shown in the table. Findthe mean, variance and standard deviation of the probability distributionP(X)x P(x)x2 P(x)10.1520.3530.404.0.10u ==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 valuesof 1, 2, 3 and 4, given that P(1) = P(2) = 5 P(3) =; and P(4) = 5%3D%3D%3DP(X)x P(x)x2 P(x)u =u = Ex2 • P(x) =

We have given that the number of cellphones sold per day at a local cellphone shop, along with its…

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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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The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x. X P(x) 0 0.125 1 0.375 2 0.375 3 0.125 O A. mean: 1.50; standard deviation: 0.87 OB. mean: 1.50; standard deviation: 0.76 O C. mean: 2.25; standard deviation: 0.87 O D. mean: 2.25; standard deviation: 0.76 C
Q7. A random variable X with a mean of 2.5 follows an exponential distribution. Find the following probabilities: (a) P(X > 2.5), (b) P(X xo) = 0.05.
The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 2 3 4 5 6 f(x) 0.01 0.25 0.4 0.3 Find the standard deviation of X.
The probability that the standard normally distributed variable is between 1.011 and 2.8 is approximately equal to.
There are two independent random variables X and Y. X has mean 4 and standard deviation , and Y also has mean 4 and standard deviation . A random variable W is the difference between X and Y. That is, W = X - Y. Calculate the mean of W.
Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. x 1 p(x) 2 3 4 5 0.06 0.10 (a) Find the mean value of x (the mean number of systems sold). 0.11 0.30 6 7 8 0.29 0.12 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
The discrete random variable X has the probability distribution given by: -1 1 3 P(X=x) 0.2 0.4r 0.2 a. Determine the following probability: P(X=1) = ? Answer in exact fraction or exact decimals b. What is the expected value of the random variable X? c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the variance of the random variable Y, where Y = 6 – 2X Answer in exact fraction or exact decimals
A random variable X follows a Normal probability distribution and has a mean value of 25 and a variance of 9. Calculate:i. P(X > 26) ii. P( 23 < X < 28)
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